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BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3 Assignments using Workboard 12-200-B 3.1 The Semiconductor Diode Assignment 3.1.1 Objectives To recognise diodes in various physical forms. To determine the diode polarity and to understand the need for correct connection. To obtain knowledge of the forward voltage/current characteristic and the conduction voltage for a silicon diode. 3.1.2 Prerequisite Assignments Resistance Resistor Networks Resistors in Series and Parallel Superposition Theorem Thévenin's Theorem Power 3.1.3 Knowledge Level Before working this assignment you should: Know the operation of series dc circuits. 3.1.4 Equipment Required Qty 12-200S Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc, regulated (eg, Feedback Teknikit Console 92-300). 3-1 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 2 Chapter 3 Assignments using Workboard 12-200-B Multimeters OR Feedback Virtual Instrumentation may be used in place of one of the multimeters 1 3-2 Function Generator, 100 Hz – 5 kHz 20 V pk-pk sine (eg, Feedback FG601) 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.5 Background A Semiconductor Junction Diode (or just Diode) is made from a piece of P-type and a piece of N-type semiconductor joined together. See fig 1. Fig 1 Junction Diode If a voltage (potential difference) is applied across the two terminals, the Diode will conduct electricity. The amount of current that flows depends upon the magnitude and polarity of the applied voltage. A diode will conduct electricity if connected one way round in a circuit and will not conduct if connected the other way round. The Diode is represented in circuits by the symbol shown in fig 2. Fig 2 Diode Symbol 12-200S 3-3 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.5.1 Forward/Reverse Biased Connections When a diode is connected so as to conduct it is said to be Forward Biased. When a diode is connected so as NOT to conduct, it is Reverse Biased. Fig 3 shows the two methods of connecting diodes. Fig 3 Diode Bias A knowledge of the conduction characteristic when a diode is forward biased is very important . Fig 4 Typical Silicon Diode - Forward Characteristic 3-4 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.6 Practical 1 Firstly in this Practical you will identify two physical forms of semiconductor diode that are provided in the equipment. Then you will investigate the circuit shown in fig 5, below. Fig 5 Initially you will measure the voltage across the circuit and the current that flows through the diode. You will then reverse the connections of the diode and measure the new voltage and current values. From these measurements you will be able to understand the basic operation of a diode. Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-5 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 3-6 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.6.1 Perform Practical The Diode is represented in circuits by the symbol shown in fig 6. Fig 6 Diode Symbol Two types of diode are shown in fig 7. Fig 7 Two Types of Diode The power diode can handle larger currents and power than the 1N4007 type. This is because of its larger size and metal case that can be bolted to a heat-sink to dissipate higher power. Identify the two forms of diode provided. You will be using the 1N4007 type in this Assignment. 12-200S 3-7 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Determining Diode Polarity Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit diagram of fig 8. Note that the resistor limits the current to a safe value. Fig 8 Diode Test Circuit Switch on the power supply. Set the power supply control to give 10 V on the meter. Go to the Results Table section of this Assignment and copy fig 9 to tabulate your results. Record the current measurement in the first row of the table. Now, switch off the power supply and reverse the 1N4007 diode to give the circuit of fig 10 Fig 10 Diode reversed 3-8 Switch on the power supply and readjust the voltage to 10 V. Read the new value of diode current and record it in the second row of your table. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.6.2 Questions 1. Which side of a diode should be connected to the positive voltage supply to make it conduct current? 2. When the diode was connected the opposite way round was the current a) slightly smaller? b) much smaller? or c) too small to measure? 12-200S 3-9 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.7 Practical 2 In this Practical you will examine in more detail the current that flows with the forward biased connection of the diode and you will plot its forward characteristic. The circuit that you will be using is shown in figure 11. The current that flows through the diode also flows through the 100Ω resistor and the voltage across the resistor will be directly proportional to that current. As the resistor value is low, it will have negligible effect on the overall working of the circuit. Fig 11 Test Circuit Connect up the circuit as shown in the Patching Diagram for this Practical. 3-10 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 12-200S 3-11 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.1.7.1 Perform Practical The Characteristics of Forward Biased Diodes Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit diagram of fig 12. The 2.2 kΩ potentiometer will provide fine control over the applied voltage. Fig 12 Test Circuit NOTE: Vd = Vs - Vr and Vr = If x 100 If Vr A 100 Vr A 1000mA 100 I f 10Vr mA Go to the Results Table section of this Assignment and copy fig 13 to tabulate your results. Turn the potentiometer to zero; fully anti-clockwise. Switch on the power supply and adjust it to supply 20 V. Adjust the potentiometer to give a voltage of 1 V on the voltmeter showing V s. Now use the power supply variable control to set Vs to: 0, 0.1 V, 0.2 V, etc, up to 1.0 V. 3-12 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Note Vr for each setting and enter it in your table. Now, with the power supply variable control set to supply 20 V, use the potentiometer to set Vs to: 1.5 V, 2.0 V, 2.5 V and 3.0 V. Again enter the values of Vr in your table. Calculate Vd and If as shown in fig 13 and enter these also in the table. Use the spreadsheet or prepare a graph like Fig 14 on which to plot your results. Plot Vd against If on the axes of the graph. Fig 14 Diode Forward Characteristics 12-200S 3-13 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.7.2 Questions 1. At what approximate value of Vd does the current If begin to rise noticeably? 2. Does Vd rise much above this value for larger values of If? 3-14 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.8 Results Required When you have performed this Assignment you should have: identified the diodes provided, determined how diode conduction is dependent on applied voltage polarity, measured and plotted the forward characteristic of a diode, determined the typical conduction voltage for a silicon diode. Your report should contain: the circuits that you investigated, the results that you achieved, the graph plotted, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 12-200S 3-15 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.9 Practical Considerations and Applications Both the 1N4007 and the power diode are made of Silicon and the forward conduction voltage of about 0.6 V is typical of silicon junctions. Also typical of silicon diodes is the very small reverse current. The power diode passes a greater reverse current than 1N4007. This is because it is designed for much larger forward currents - up to 6 A average. At the low voltage used in this experiment the reverse amount will still be very small. Diodes can withstand high reverse voltage but will eventually break down at some voltage and may be irreparably damaged. Diodes have very many applications at many different power, voltage and current levels. A very important application is the production of direct voltage from alternating voltage and this is dealt with in the Assignments which cover Rectification. 3-16 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.1.10 Results Tables Circuit Current (mA) Fig 8 Fig 10 Fig 9 Vs (V) Vr (V) Vd = V s – Vr (V) If = 10 Vr (mA) 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.5 2.0 2.5 3.0 Fig 13 12-200S 3-17 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.1.11 Further Work Construct the circuit of fig 15 and apply the method used earlier in this Assignment to find Vd and If. Fig 15 Diode Power Dissipation 3-18 Calculate the power dissipation of the diode and check to see if it becomes warm to the touch after a few minutes operation. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.2 Chapter 3 Assignments using Workboard 12-200-B Half-Wave Rectification Assignment 3.2.1 Objectives To learn to recognise a half-wave rectified sinusoidal voltage. To understand the term 'mean value' as applied to a rectified waveform. To understand the effect of a reservoir capacitor upon the rectified waveform and its mean value. 3.2.2 Prerequisite Assignments The Semiconductor Diode 3.2.3 Knowledge Level Before working this assignment you should: Know the operation of transformers. Know the operation of series and parallel ac circuits. Know how to use an oscilloscope. 3.2.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, ac. supply; 12 V rms; 50 or 60 Hz (isolated from other supplies). (eg, Feedback Teknikit Console 92-300). 1 Multimeter OR Feedback Virtual Instrumentation may be used in place of the multimeter 1 12-200S Oscilloscope 3-19 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.2.5 Background In The Semiconductor Diode Assignment you found that a diode conducts current in one direction (from anode to cathode) but not in the reverse direction. A widely used application of this feature is the conversion of alternating voltages to direct voltages (fig 1). This assignment studies the simplest circuits for achieving this conversion, which is called Rectification or, in some cases, Detection. Fig 1 3-20 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.6 Practical 1 In this Practical you will see the typical waveform of a half-wave rectified sinusoidal voltage. You will measure the period and the peak voltage of the rectified waveform and you will calculate the mean value of the voltage. You will reverse the rectifying diode and observe its effect. The circuit that you will be using is shown in fig 2. Fig 2 Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-21 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 3-22 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.6.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 3. Fig 3 Half-wave Rectification Switch on the oscilloscope and the sinusoidal supply. With the oscilloscope dc coupled adjust the timebase and the Y amplifier sensitivity to obtain a steady trace of about 4 cm vertical and 5 ms/cm horizontal. You should see a waveform as in fig 4. Fig 4 Half-wave Rectified Waveform Measure and record time T and peak voltage V pk. Sketch the waveform and label it to show the periods when the diode is conducting and those when it is not. Time T depends upon the frequency of your power supply. For a 50Hz supply it should be 20 ms and for 60 Hz it should be 17 ms. Confirm this. Vpk should be very nearly equal to the peak voltage of the alternating supply. The waveform of fig 4 goes only positive relative to zero volts. If you connect a moving coil dc voltmeter across the output as in fig 3, the mechanical inertia of the meter will not allow the needle to respond to the rapid voltage changes. Instead, it indicates the MEAN voltage of the waveform. 12-200S 3-23 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B The mean value of a half-sinusoid can be shown by geometry to be: 2Vpk But at every half-cycle the voltage is zero. The mean value of the waveform, therefore, is: 1 2Vpk T T Vpk 0 T 2 2 Note the mean voltage indicated by the voltmeter, and compare it with 0.32 Vpk. The mean voltage you obtained is positive relative to zero. 3-24 Rearrange the circuit to give a negative voltage. Confirm this by experiment. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.6.2 Questions 1. Why is Vpk not be exactly equal to the peak voltage of the alternating supply? 2. By how much does it differ? 3. The mean voltage you obtain from this Practical is positive relative to zero. How could you obtain a negative voltage? 12-200S 3-25 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.7 Practical 2 In this Practical you will see the effect of adding a capacitor across the output of a halfwave rectifier circuit. This is shown in fig 5, below. Fig 5 Half-wave Rectifier with Reservoir Capacitor You will see how this capacitor ‘smoothes’ the output voltage to give a more nearly constant dc voltage. However, you will also see that there are still variations (ripple) on this output voltage. You will change the capacitor to one with a larger value and observe any changes in output voltage waveform. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-26 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 12-200S 3-27 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.7.1 Perform Practical Very often when rectifying an alternating voltage, you wish to produce a steady direct voltage free from variations of the sort observed in fig 5. One way of doing this is to connect a capacitor in parallel with the load resistor as in fig 6. Fig 6 Half-wave Rectifier with Reservoir Capacitor The effect of a capacitor can be seen with reference to fig 7. Fig 7 The Effect of a Reservoir Capacitor The capacitor C (usually called the reservoir capacitor) becomes charged-up by the current through the diode during the positive half-cycle. Then, when the supply voltage starts to reduce again, the capacitor keeps the output voltage high and the diode cuts off. Capacitor C then discharges through R until the next positive half-cycle occurs. Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 6. Initially, the 2.2 µF capacitor should be connected in circuit as capacitor C. Observe the output waveform on the oscilloscope and note the value of the peak-to-peak variations in voltage. Note also the new mean voltage on the voltmeter. 3-28 Now replace the 2.2 µF capacitor by a much larger value of 47 µF, making sure to connect the + side of the capacitor to the diode cathode (the capacitor is electrolytic and MUST be connected in the correct polarity) and answer Questions 2 and 3 for this Practical. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.7.2 Questions 1. Is the mean voltage with the 2.2 µF capacitor added greater or less than it was before? 2. The variations on the rectified waveform are called RIPPLE. Is the ripple with the 47 µF less than or more than it was with the lower value capacitor? 3. Is the mean rectified voltage now greater or less? 12-200S 3-29 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.8 Results Required When you have performed this Assignment you should have: seen how a diode circuit can convert an alternating voltage into a direct voltage, measured the peak and calculated the mean voltage values for a half-wave rectifier circuit, observed the effect of adding a reservoir capacitor to the basic half-wave rectifier and the ripple voltage resulting, observed the effect of the capacitor value on the degree of smoothing and the amplitude of the ripple voltage. Your report should contain: the circuits that you investigated, the results that you achieved, the waveforms drawn, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 3-30 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.9 Practical Considerations and Applications When rectification is used to provide a direct voltage power supply from an alternating source, the ripple is an undesirable feature. For a given capacitor value, a greater load current (smaller load resistor) discharges the capacitor more and so increases the ripple obtained. Fig 8 shows this. Fig 8 The Effect of Load Current Several methods are available to reduce ripple: 1. Larger capacitors, the uses of which are limited due to cost and size, and also because large capacitors can require very large charging currents to be supplied through the diode. 2. Electronic stabilisation This reduces ripple as well as keeping the output voltage steady when the load or input voltage changes. 3. Full-wave rectification. With this, the ripple is much reduced as every half-cycle of the input, instead of every other half-cycle, contributes to the rectified output. In fig 9 it can be seen that capacitor charging occurs at half the previous interval and the amount of discharge for a given load current is therefore less. Fig 9 Full-wave Rectification The Full-Wave Rectification Assignment deals with methods of achieving full-wave rectification. When diodes are used for detection purposes in the reception of modulated radio signals, quite different considerations apply. These are not discussed in detail here. 12-200S 3-31 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.2.10 Further Work A half-wave rectifier, as in fig 10, produces a certain amplitude (peak-to-peak) of ripple. Fig 10 Rectifier Circuit If the load resistor is reduced to half of its original value, what increase in capacitor value will restore the ripple to the same value as before? Confirm your answer by practical experiment, starting with: R = 10 kΩ and C = 47 µF. 3-32 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.3 Chapter 3 Assignments using Workboard 12-200-B Full-Wave Rectification Assignment 3.3.1 Objectives To learn to recognise a full-wave rectified sinusoidal voltage waveform. To understand the working of a diode bridge circuit as a full-wave rectifier and its advantage over half-wave rectification. To understand the effect of a reservoir capacitor upon the rectified waveform and its mean value. To have an awareness of the two diode form of full-wave rectifier. 3.3.2 Prerequisite Assignments Half-wave Rectification 3.3.3 Knowledge Level Before working this assignment you should: Know the operation of transformers. Know the operation of series and parallel ac circuits. Know how to use an oscilloscope. 3.3.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, ac supply; 12 V rms; 50 or 60 Hz. (isolated from other supplies). (eg, Feedback Teknikit Console 92-300). 1 Multimeter OR Feedback Virtual Instrumentation may be used in place of the multimeter 1 12-200S Oscilloscope 3-33 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.3.5 Background At the end of the Half-wave Rectification Assignment ways of reducing the ripple or voltage variation on a rectified direct voltage were discussed. One of these was to use every half-cycle of the input voltage instead of every other half-cycle. A circuit which allows this is shown in fig 1, and is known as the diode bridge. Fig 1 A Diode Bridge Rectifier During the positive half-cycle of the supply 'A' is more positive than 'B'. Diodes D1 and D2 therefore conduct while diodes D3 and D4 are reverse-biased. The current flows as shown in fig 2. Fig 2 Positive Half-cycle Fig 3 Negative Half-cycle During the negative half-cycle the current flow is as represented by fig 3. In each case the current in the load is in the same direction. 3-34 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B A typical bridge rectifier component is shown in fig 4a. Note that, on your equipment, the bridge rectifier component may be a small cube, as shown in fig 4a, or may be cylindrical in construction. Fig 4b shows the circuit symbol and how the rectifier terminals are labelled. Fig 4 Bridge Rectifier The terminals labelled + and - are so called because these are the polarities that will exist across the load. 12-200S 3-35 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.3.6 Practical 1 In this Practical you will see the typical waveform of a full-wave rectified sinusoidal voltage. You will measure the period and the peak voltage of the rectified waveform and you will calculate the mean value of the voltage. The circuit that you will be using is shown in fig 5. Fig 5 You will add a reservoir capacitor and observe its effect. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-36 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-37 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.3.6.1 Perform Practical A Bridge Rectifier with Resistive Load Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 6. Note: Prior to connecting an ac power supply to the board, ensure that the supply is isolated from the ground. Fig 6 Test Circuit With the oscilloscope dc coupled, adjust the controls to obtain a steady trace of about 4 cm vertical and 5 ms/cm horizontal. You should observe a waveform as in fig 7. Time 'T' will be 10 ms for 50 Hz supply, and 8.5 ms for 60 Hz. Fig 7 Full-wave Rectified Waveform Note the value of Vpk and also the mean value of output voltage indicated on the voltmeter. Compare these figures with those obtained in Half Wave Rectification. 2Vpk As the mean value of a half-cycle of a sine wave is, and every half-cycle is present, this should be the mean value measured. 3-38 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Confirm this from your readings. The Effect of a Reservoir Capacitor Add a 2.2 µF capacitor in parallel with the load resistor and note the new mean value and the peak-to-peak ripple amplitude of the rectified waveform. Compare these figures with those obtained in the Half-wave Rectifier Assignment for the same load and capacitor values. 12-200S 3-39 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.3.7 Questions 1. Should Vpk be the same as it was for a half-wave rectifier? Does your observation confirm your answer? 2. How does the mean value compare with that found for half wave rectification? 3. Fig 9 shows the discharge curve for a reservoir capacitor in half-wave and full-wave rectification, for the same load and capacitor values. Fig 9 A - Start of discharge B - End of discharge; full wave C - End of discharge; half wave A capacitor discharges into a resistor in an exponential fashion, that is with a rate of discharge that reduces as the discharge progresses. With this in mind, would you expect the peak-to-peak ripple in full-wave to be: (a) half that in half-wave (b) less than half (c) more than half Explain your answer and confirm it by reference to measurements made in the Halfwave Rectification Assignment and this Assignment for similar load conditions. 3-40 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.3.8 Results Required When you have performed this Assignment you should have: seen how a bridge rectifier circuit can convert an alternating voltage into a direct voltage, measured the peak and calculated the mean voltage values for a bridge rectifier circuit, observed the effect of adding a reservoir capacitor to the circuit. Your report should contain: the circuits that you investigated, the results that you achieved, the waveforms drawn, a comparison of the performance of half-wave and bridge rectifier circuits, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 12-200S 3-41 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.3.9 Practical Considerations and Applications The alternating input voltage to a rectifier is usually obtained from the main supply through a transformer, for two reasons: 1. 1.To obtain the desired voltage by choice of the transformer ratio. 2. To provide isolation from the main supply for safety reasons. Fig 9 shows such an arrangement with a bridge rectifier. Fig 9 Transformer-fed Bridge Rectifier In this figure, although the load current is always in one direction, the current in the transformer secondary is alternating. Fig 10 shows another method of full-wave rectification, using a centre-tapped transformer winding and two diodes. Fig 10 Full-wave Rectifier using Two Diodes The arrows show how current flows on alternate half-cycles. The value of the output waveform is exactly the same as that for a bridge circuit provided each half of the transformer windings has the same rms voltage as the whole of the winding in fig 9. 3-42 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B The circuit saves two diodes, but increases the cost of the transformer. In fig 10 each halfsecondary winding must have the same voltage rating as the single secondary of fig 9. Suppose the half-secondaries were wound with wire of half the cross-sectional area, so as to fit the two into the same space as the one secondary of fig 9, and use the same amount of copper. Each half-secondary would then have twice the resistance. The current flows in each half-secondary only on alternative half-cycles, but would generate twice the I2R loss in the active cycle. Each half-secondary would thus develop as much heat as the single secondary of fig 9, ie, twice as much for both. A larger transformer would therefore be required to avoid excessive heating. Its greater cost would usually outweigh the cost of the two diodes saved. In full-wave rectification the basic repetition rate of the ripple is twice that of the supply (eg, 100 Hz for a 50 Hz supply). In half-wave the frequency is the same as the supply frequency. This is often useful as an indication that one half of a bridge or full-wave rectifier is faulty. 12-200S 3-43 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Notes 3-44 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.4 Chapter 3 Assignments using Workboard 12-200-B The Zener Diode Assignment 3.4.1 Objectives To recognise Zener diodes in various physical forms and to distinguish them from rectifying diodes. To understand the constant-voltage characteristic of a reverse-biased Zener diode. To understand the use of a Zener diode in a simple voltage regulator circuit. 3.4.2 Prerequisite Assignments The Semiconductor Diode 3.4.3 Knowledge Level Before working this assignment you should: Know what is meant by internal resistance and the effect it has on terminal voltage. 3.4.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc, regulated. (eg, Feedback Teknikit Console 92-300). 2 Multimeters OR Feedback Virtual Instrumentation may be used in place of one of the multimeters 12-200S 3-45 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.5 Background In the Semiconductor Diode Assignment you found that a reverse-biased diode passes negligible current. You also learnt that it will eventually suffer breakdown and damage if the reverse voltage is made too high. See fig 1. Fig 1 Reverse Breakdown of a Diode Zener diodes are specially constructed to break down at controllable voltages and to do so without damage to the device. As we shall see, this feature can be put to good use. Two Zener diodes are contained in the 12-200. They are 10 V and 7.5 V types and are shown in fig 2 with the standard circuit symbol. Fig 2 Zener Diodes and Symbol Zener diodes look very similar to rectifier diodes and the terminal names and identification methods are the same. The larger types have greater power and current capacities. The two types of diode can usually be distinguished only by their type numbers. For Zener diodes these often, but not always, contain the letter Z. 3-46 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.5.1 A Simple Zener Diode Voltage Regulator The Zener diode has a region in its reverse characteristic of almost constant voltage regardless of the current through the diode. This can be used to regulate or stabilise a voltage source against supply or load variations. Fig 3 shows an unregulated voltage source supplying current to a variable load. Fig 3 An Unregulated Power Source If either Vs or RL changes, so will the voltage across the load VL. One way of keeping this voltage more constant is to connect across the load a Zener diode whose breakdown voltage is the desired constant voltage. Fig 4 shows a Practical circuit of this kind. Fig 4 A Simple Zener Diode Regulator 12-200S 3-47 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.6 Practical 1 In this Practical you will plot the typical reverse characteristic of a zener diode. You will measure the voltage across the diode and also that across a series resistor. You will use Ohm’s Law to calculate the current through the diode. The circuit that you will be using is shown in fig 5. Fig 5 You will plot the reverse characteristic and you will also calculate and plot the power dissipation against the diode voltage. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-48 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-49 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.6.1 Perform Practical As shown in the Patching Diagram for this Practical, construct the circuit of fig 6. Fig 6 Test Circuit The method of obtaining the voltage-current characteristic is the similar to that of the Semiconductor Diode Assignment but notice that the Zener diode is reverse-biased. Using the power supply variable control, set Vs to the following values: 0 V, 2 V, 4 V, 6 V, 6.5 V, 7.0 V, 7.5 V, 8.0 V, 8.5 V, 9.0 V, 10 V, 15 V and 20 V For each value record Vr. Go to the Results Tables section of this Assignment and copy fig 7 to tabulate your results. Calculate: Vr Vd = Vs - Vr and Id = 1000= Vr mA Prepare a graph like fig 8 and plot Id against Vd. Note: This is a graph of the reverse part of the Zener diode characteristic and would normally be shown in the negative quadrant of the complete diode characteristic 3-50 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 8 The Zener Diode Characteristic Calculate the power dissipated in the diode for each value of Vd and Id, and enter it into the last column of your table. Pd = Vd x Id mW Plot Pd against Vd on your graph. 12-200S 3-51 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.6.2 Questions 1. Describe the Zener diode characteristic in your own words. 2. The nominal voltage of the BZY55C7V5 is 7.5 V. Does your graph agree with this exactly? If not, can you suggest a reason for any difference? 3. Why is the series resistor in Fig 6 necessary? 4. The maximum allowable power dissipation of type this type of Zener diode is 400 mW. Does your maximum value of Pd approach this limit? 3-52 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.7 Results Required When you have performed this Assignment you should have: seen that, in its breakdown region a Zener diode has an almost constant voltage regardless of diode current, understood how this feature can be used to stabilise a varying voltage, understood the need to keep the diode power dissipation below the allowable maximum. Your report should contain: the circuit that you investigated, the results that you achieved, the characteristic graph drawn, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 12-200S 3-53 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.4.8 Practical Considerations and Applications Zener diodes are widely used as voltage stabilisers and voltage references. They are manufactured with Zener voltage ratings of between about 2.7 volts and 200 volts, usually in 'preferred' voltage steps, eg, 2.7, 3.3, 3.6, 3.9, 4.3, 4.7, 5.1 etc, just as 1% tolerance resistors are manufactured. The power dissipation rating of a Zener diode is an important parameter. Zener diodes are manufactured with power ratings between 250 mW and in excess of 100 watts. Although Zener voltages are fairly insensitive to changes in diode current, they are however sensitive to temperature changes. Normally the Zener voltage is specified at a temperature of 25°C, but diodes will have a temperature coefficient. Typical figures for this range from -5.0 mV/deg C for a 2.7-volt device to +60 mV/deg C for a 75-volt device. The zero temperature coefficient is given around 5.6 volts Zener voltage. Zener diodes have many uses other than for providing stable or reference voltage sources (eg, they can be used for clipping, thereby doing away with the need for a voltage source as the clipping reference). Zener diodes are often used for over-voltage protection, being connected across the load. The Zener voltage is chosen such that under normal operating conditions the diode is reverse-biased below the Zener voltage, so the device acts as an ordinary diode (i.e. nonconducting). If however the voltage rises above the Zener voltage, the diode will break down and pass a heavy current. The excess voltage may be dropped in a resistor, as in fig 9(a), or the fuse will blow, as in fig 9(b). Fig 9 A Zener Diode used as Load Protection 3-54 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.4.9 Results Tables Vs (V) Vr (V) Vd =Vs - Vr (V) Id = Vr (mA) Pd =Vd x Id (mW) 0 2 4 6 6.5 7.0 7.5 8.0 8.5 9.0 10.0 15.0 20.0 Fig 7 12-200S 3-55 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Notes 3-56 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.5 Chapter 3 Assignments using Workboard 12-200-B Transistor Familiarisation Assignment 3.5.1 Objectives To recognise transistors in various physical forms and to identify their terminals. To understand the basic construction of PNP and NPN transistors. To understand junction biasing and the direction and magnitude of current flows. 3.5.2 Prerequisite Assignments The Semiconductor Diode 3.5.3 Knowledge Level Before working this assignment you should: Know the operation of parallel dc circuits. 3.5.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, +5 V and -15 V variable dc, regulated. (eg, Feedback Teknikit Console 92-300). 3 Multimeters OR Feedback Virtual Instrumentation may be used in place of one of the multimeters 12-200S 3-57 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.5 Theory Transistors are three-terminal devices constructed in the form of two semiconductor junctions, rather like two junction diodes. Fig 1 shows the two types, NPN and PNP, governed by the physical arrangement of the Pand N-type semiconductor materials. Fig 1 Two Types of Transistor Each of the PN junctions in this diagram behaves individually like the simple diode you studied in the Semiconductor Diode Assignment but, when joined together in this way, the behaviour is very different. In normal use the emitter-base diode is forward-biased and behaves almost exactly like an independent diode. The collector-base diode, however, is reverse-biased and normally you would expect it to pass no current. But if the E-B diode is conducting forward current, this influences the reverse-biased C-B diode and causes it to pass almost as much reverse current. Fig 2 shows this for PNP and NPN types. The small difference current flows in the base circuit. 3-58 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 2 Transistor Current Flow The ratio IC is usually called hfb. IE Because IC is almost as big as IE, hfb is nearly 1. The ratio Thus IC = hfb IE = nearly 1 (eg, 0.99) IC is usually called hfe IB IB + Ic = IE = IC ( IC hfb 1 – 1) = IB h fb and hfe = IC = IB if hfb 1 = 1 hfb 1 1 hfb hfb = 0.99, hfe = 0.99 0.01 = 99. It is this large ratio between IC and IB that makes the transistor a useful amplifying device when connected so that IB is derived from an input and IC provides an output. In the Assignment you will first identify some actual transistors and then confirm the directions and magnitudes of currents, finding hfb and hfe in the process. 12-200S 3-59 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.6 Practical 1 In this Practical you will investigate the currents that flow in a transistor. The transistor that you will use is a general purpose NPN transistor with the type number BC107. It is of the type called a ‘low power’ or ‘small signal’ transistor to distinguish it from transistors that can operate at significantly higher power levels – they are called ‘power transistors’. The circuit that you will be using is shown in fig 3. Fig 3 You will measure the base current of the device and the resulting collector current. You will then change the base current and see how the collector current changes. You will also measure the base-emitter voltage and compare it with that of a forward biased diode. In the circuit of fig 3, the capacitor is provided to ensure that the circuit is stable and has no effect on your measurements. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-60 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-61 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.6.1 Perform Practical Fig 4 illustrates a typical low power transistor. Fig 4 Typical Low-power Transistor (as supplied) Transistors are made in many other physical forms. Fig 5 shows some other types you could have to recognise. Fig 5 Different Transistor Styles Make sure you can accurately identify the terminals of the transistors in the kit. 3-62 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 6. Fig 6 Transistor Test Circuit As stated, this uses the BC107-NPN transistor and the capacitor is provided to ensure that the circuit is stable and has no effect on your measurements. Turn the potentiometer to zero (anti-clockwise) and switch on both power supplies. Slowly increase VEB by turning the potentiometer clockwise until IC just begins to flow. Connect the voltmeter temporarily between E and B on the transistor (3 V dc range) and note the value of VEB in the table. Note: if you are using virtual instrumentation to measure this voltage you will need to measure between emitter and 0 V and then base and 0 V and subtract the readings to obtain VEB. Go to the Results Tables section of this Assignment and copy fig 7 to tabulate your results. Remove the voltmeter and then continue increasing VEB until IC approximately equals 1 mA and record the values of IC and IB in the table. Now increase VEB until IC approximately equals 10 mA; again record IC and IB. Satisfy yourself that both IB and IC are flowing in the directions shown in fig 6 For each set of readings calculate hfe, IE and hfb as follows: hfe 12-200S IC I I 1000; IE IC B ; hfb C IB 1000 IE 3-63 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.6.2 Questions 1. Did your reading of VEB confirm that the forward-biased E - B junction is acting like a simple diode? Explain. 2. Do your results show that hfb and hfe increase, decrease or stay constant as Ic increases? 3. Fig 8 shows an incomplete circuit of PNP transistor in common-emitter connection. Fig 8 Complete the circuit with a suitable collector bias voltage and show the direction and size of the collector current IC. Also find hfb and hfe 3-64 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.7 Practical Considerations and Applications The measurements in this Assignment are made with the BC107 transistor used in a circuit in which the E and C terminals are biased with voltages relative to the base B. For this reason this circuit is called a common base connection. It is also possible to bias the junctions with voltages relative to the emitter or collector, giving common emitter and common collector connections as in fig 9. Fig 9 Bias Arrangements for an NPN Transistor In common-emitter, VCE must be larger than VBE to ensure that the C - B junction remains reverse-biased. In common-collector, VEC must be larger than VBC to ensure that the E - B junction remains forward-biased. These three connections have important differences in their responses to inputs. The common-emitter and common-collector circuits are the most important connections since the common-base is used only in special circumstances. As with diodes, transistors can be made from Germanium instead of Silicon, but Germanium devices are rarely used nowadays. 12-200S 3-65 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.5.8 Results Required When you have performed this Assignment you should have: seen that transistors have two basic forms: the PNP and the NPN, learnt that a transistor comprises two diode junctions, one forward and one reversebiased, seen that the base current is much smaller than either the emitter or collector current, which are themselves nearly equal, learnt that there are three basic bias connections for a transistor. Your report should contain: the circuit that you investigated, the calculations that you performed, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 3-66 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.5.9 Results Table IC (mA) VEB (V) just measurable IB (mA) - 0.99 - 10 - hf e IC IB - IE = IC + IB (mA) - hf b IC IE - Fig 7 12-200S 3-67 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Notes 3-68 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.6 Chapter 3 Assignments using Workboard 12-200-B The Common-Emitter Transistor Assignment 3.6.1 Objectives To become familiar with the common-emitter output (collector) characteristics. To provide an understanding of the meaning and importance of Operating Point and Load Line. 3.6.2 Prerequisite Assignments Before working this assignment you should: Transistor Familiarisation 3.6.3 Knowledge Level Know the operation of a potential divider circuit. 3.6.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc regulated and +5 V dc regulated (eg, Feedback Teknikit Console 92-300). 3 Multimeters OR Feedback Virtual Instrumentation may be used in place of one of the multimeters 12-200S 3-69 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.5 Background In the Transistor Familiarisation Assignment you learnt that the emitter and collector currents of a transistor are nearly equal. Also, you learnt that the base current is the difference between them and is therefore much smaller. You learnt too that the transistor junctions can be biased in three different ways, called 'common-base', 'common-emitter' and 'common-collector'. This assignment looks more closely at the common-emitter connection, using an NPN type of transistor. Fig 1 is to remind you of some of the results from The Transistor Familiarisation Assignment Fig 1 NPN Transistor Common-emitter Connection If IB is derived from an input signal and IC is used to generate an output, then the ratio I C/IB represents the gain of the transistor in terms of the currents. That is: hfe = OUTPUTCURR ENT = CURRENT GAIN INPUTCURRE NT What is required is a graph that will tell us exactly how IC, IB and VCE are related to one another. The Collector Characteristic, which is found in this Assignment, is one such graph. 3-70 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.6 Practical 1 In this Practical you will investigate how the collector current IC is controlled by the base current IB and the collector-emitter voltage VCE. The circuit that you will be using is shown in fig 2. Fig 2 In this circuit the input is applied to the base and the output is from the collector. The emitter is common to both input and output. This connection is therefore called the common emitter connection. You will set a value of collector-emitter voltage and then vary the base current of the device and measure the resulting collector current. You will then change the collectoremitter voltage and see how the base current and collector current change. You will then plot IC against VCE for each value of IB on your graph. Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-71 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 3-72 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.6.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 3. Fig 3 Test Circuit Go to the Results Tables section of this Assignment and copy fig 4 to tabulate your results and prepare a graph as shown in fig 5, for your results. Fig 5 BC107 Collector Characteristics Set VCE to 0.5 V, then use the potentiometer to adjust IB to each value given in the table of fig 5. At each setting record IC in the appropriate column. Then repeat for each other V CE value. Plot IC against VCE for each value of IB on your graph. The graphs you now have are the 'output' or 'collector characteristics'. 12-200S 3-73 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.6.2 Questions 1. What happens to IC when VCE becomes less than 0.6 V? What is the significance of this value? 2. What do you notice about the effect of V CE upon IC when VCE is greater than about 1.0 V? 3-74 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.7 Practical 2 In this Practical you will begin to investigate what happens when a load resistor is connected in the collector circuit. The circuit that you will be using is shown in fig 6. Fig 6 This circuit is the same common emitter connection, as used in Practical 1, but has a load resistor R connected in series with the collector. Now the supply voltage is designated VCC, to distinguish it from the collector-emitter voltage VCE. You will construct a load line on the output characteristic plotted in Practical 1 corresponding to the load resistor value. This Practical is a paper-based exercise and requires no patching. 12-200S 3-75 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.6.7.1 Perform Practical You should have concluded from the first Practical that IC is very little affected by VCE . Instead however, it is almost entirely controlled by IB. We say that the output circuit represents a constant current source. If we wish to produce an output voltage, as we might in certain kinds of amplifier, this current may be passed into a resistor to generate a voltage. Fig 7 shows a circuit in which the collector bias is applied through a load resistor. Fig 7 Addition of a Load Resistor VCC is the term now used for the supply voltage to distinguish it from V CE, because when a current IC is flowing these two will be different. By Ohm's Law: VCE = VCC - IC R. Therefore, when IC = 0, VCE = VCC and when VCE = 0 IC = VCC R On your graph plot these two points VCE and IC for: IC = 0, R = 2kΩ, and VCC = +10 V. Plot two or three more points for other values of IC such as 2 and 5 mA using the same values of R and VCC. Join up the points by a line. 3-76 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Your line should be straight because the equation (V CE = VCC - IC R) is a linear one; there being no square or cubic terms in it. What you have now drawn is called a load line. It shows how VCE varies with IC and in turn with IB. Construct a second load line for: VCC = 8 V and R =1k ohms. 12-200S 3-77 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.8 Practical 3 In this Practical you will connect a load resistor in the collector circuit and set an operating point. You will construct the circuit and investigate its operation. The circuit that you will be using is shown in fig 8. Fig 8 This circuit is a practical implementation of the basic circuit of fig 7, but includes components to enable the supply voltage and the base current to be adjusted and meters to measure the resulting effects. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-78 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 3 Patching Diagram 12-200S 3-79 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.8.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 8. Go to the Results Tables section of this Assignment and copy fig 9 to tabulate your results and prepare a graph as shown in fig 5, for your results. Fill in the gaps in your table of Practical 2 by examination of your graph. Make estimates if an exact value cannot be obtained. Now alter your constructed circuit to include a load resistor of 1kΩ and set VCC = 8 V. The circuit now looks like fig 10. Also see the Patching Diagram. Fig 10 Test Circuit Check your answers to items No. 1 and 4 in the table, by setting the given parameter and measuring the other two. Now change VCC and R to 10 V and 2kΩ respectively and check your answers to items 2 and 3. A circuit like fig 10 is widely used to amplify alternating signals. It is then necessary to set the initial value of VCE to allow the output to vary both up and down. This is called setting the operating point and is what you have just done. Very often the operating point will be set to V CE which approximately equals VCC to allow 2 the maximum possible swing in either direction. 3-80 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Mark this point on each of the two loads lines on your graph (fig 6) and label the points as operating points. Estimate the extreme values of VCE for each load line if IB varies by (10 µA about the operating point value. Draw a thick line along the section of load line included within these limits. This represents a typical operating range. Your graph should now look like fig 11. Fig 11 Typical BC107 Characteristics 12-200S 3-81 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.8.2 Questions 1. Use the value of hfe found in the Transistor Familiarisation Assignment for the BC107 to estimate the peak-to-peak variation of VCE in the circuit of fig 12 when IB varies by ±2 µA. Fig 12 Also what mean level of IB must you use to establish the operating point correctly? (HINT: Variation of VCE = R x variation of IC) 3-82 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.9 Results Required When you have performed this Assignment you should have: learnt that the collector or output characteristics for a common-emitter transistor can be used to predict IC, given VCE and IB, constructed a load line can on the characteristic to show the effect of a resistor in the collector lead, seen that the load line can be used to determine a suitable operating point, which can be set by adjustment of the base current, learnt that the variation in base current determines the operating range. Your report should contain: the circuit that you investigated, the calculations that you performed, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. To achieve the calculated values you could use a spread sheet package. 12-200S 3-83 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.6.10 Practical Considerations and Applications Setting the operating point is an important matter in transistor amplifiers. The Practicals in this Assignment have effectively done this by applying a voltage to the base-emitter junction through a resistor, as in fig 13. Fig 13 Simple Bias Circuit Unfortunately this does not give a stable operating point in practice because temperature changes cause a considerable change in IC for a given IB. Also individual transistors of one type show some variation in characteristics. Fig 14 shows a circuit which is much used to stabilise the operating point against such variations. Fig 14 A Stabilised Bias Circuit R1 and R2 set a voltage at the base, VB, of say 4 V and IE is made to pass through resistor RE. The emitter voltage, by Ohm's Law must be: VE = IE x RE and since VBE is about 0.6 V, then: VB = VE + 0.6 = IE RE + 0.6 3-84 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Thus, if VB = 4 V, VE = 3.4 V. Now if IE increases, this causes VBE to reduce and in turn reduces IB and hence IE. Thus the original change is counteracted. If IE reduces the result is similar. The operating point has effectively been set by VB and RE, because: 0.6 IC IE = VB RE 12-200S 3-85 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.6.11 Results Table IB IC (mA) for Vce = ......... ..(V) A 0.5 1 2 5 10 0 10 20 30 40 50 Fig 4 No. VCC (V) R () 1 8 1000 2 10 2000 3 10 2000 4 8 1000 VCE (V) IB (mA) IC (mA) 25 4 5 5.5 Fig 9 3-86 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.7 Chapter 3 Assignments using Workboard 12-200-B The Silicon Controlled Rectifier Assignment 3.7.1 Objectives To recognise SCR's in different physical forms. To understand the two-transistor analogy and the different ways of triggering an SCR. To appreciate the meaning of the terms 'Breakdown Voltage' and 'Holding Current'. To appreciate the areas of application of SCR's. 3.7.2 Prerequisite Assignments The Semiconductor Diode Transistor Familiarisation 3.7.3 Knowledge Level Before working this assignment you should: Know the operation of series and parallel ac circuits. 3.7.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc regulated and +15 V dc regulated. ac supply; 12 V rms 50 or 60 Hz (isolated from other supplies. (eg, Feedback Teknikit Console 92-300). 2 Multimeters OR Feedback Virtual Instrumentation may be used in place of one of the multimeters 12-200S 3-87 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.5 Background The Silicon Controlled Rectifier, or SCR, is one of several semiconductor devices which are capable of acting as fast switches for large currents. The general name for these devices is thyristor. Fig 1 shows the SCR symbol and some of the physical forms in which it is found. Fig 1 Types of SCR and Graphical Symbol. The SCR resembles a rectifier diode but if the anode is held positive relative to the cathode no current flows until a positive current is injected into the gate. The diode then switches on and will not switch off until the anode-cathode voltage is removed. Hence the name controlled rectifier. Fig 2 shows the SCR as a three-junction device. Fig 2 The Two-transistor Analogy of an SCR. This can be regarded as two inter-connected two-junction transistors, one PNP and the other NPN. 3-88 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B If A is made positive relative to K, and G is left unconnected, no current will flow because each transistor gets its base-emitter current from the other's collector emitter current. So, until one of the transistors is given some base current, nothing can happen. If now a current is injected into the base of transistor '2', the resulting collector current flows in the base of '1'. This in turn causes a collector current in '1' which increases the base current of '2' and so on. Very rapidly the two transistors force each other to conduct to saturation; the current being limited only by resistance in the external circuit. If the anode-cathode voltage is now reduced, the current also reduces until it goes below some critical value, and the transistors switch off again, just as rapidly. If a reverse voltage is applied to the SCR (anode negative to cathode) it behaves very much like an ordinary diode. No current passes until at, some high voltage, it breaks down completely. 12-200S 3-89 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.6 Practical 1 In this Practical you will measure the Trigger Current and the Saturation Voltage of a forward biased SCR. You will also measure the Holding Current for the device. The circuit that you will be using is shown in fig 3. Fig 3 You will set a value of supply voltage and then increase the gate current of the device until the lamp lights. You will also measure the anode-cathode voltage when the SCR is on (conducting). Finally, you will find the holding current for the device. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-90 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-91 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.6.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 4. Fig 4 Test Circuit for Trigger Current. Set the variable dc volts to 12 V. Turn the potentiometer to zero (clockwise) and switch on the supplies. Slowly rotate the potentiometer, observing the gate current meter continuously, until the lamp suddenly lights. Record the gate current at which this occurs. Switch off the supplies and return the potentiometer to zero. Copy the results table as shown in fig 5, found in the Results Table section of this assignment, for your results. Repeat the measurement several times. to ensure that you have the correct value. What you have found is the Trigger Current (IGT). Enter it into your table. Now trigger the SCR on again and measure the voltage from anode to cathode. This is the Saturation Voltage VAK (sat). Enter this in the table. 3-92 Finally connect the multimeter (on range 100 mA) in series with the lamp as in fig 7. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 6 Test Circuit for Holding Current. Trigger the SCR on. The meter reads the lamp current for a 12 V supply voltage. Temporarily disconnect the gate connection. Slowly reduce the supply voltage until the SCR current suddenly falls to zero. Note the value of the current at which this occurs. Repeat this procedure several times to ensure that you have the correct value. What you have found is the Holding Current (IH). Enter this also into your table. Notes: To switch an SCR 'ON' the Gate Current must by at least IGT. To switch an SCR 'OFF' the Anode Current must be no more than IH. 12-200S 3-93 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.6.2 Questions 1. Look at fig 7 . Fig 7 Do you expect the saturation voltage to be greater or less than 0.6 V? Explain. 2. What do you think will happen in the circuit of fig 4 if you trigger the SCR on, and then reduce the gate current to zero again? Confirm your answer by experiment. 3-94 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.7 Practical 2 In this Practical you will replace the variable dc anode supply with a 12 V ac supply and investigate the performance of the circuit under ac conditions. The circuit that you will be using is shown in fig 8. Fig 8 Connect up the circuit as shown in the Patching Diagram for this Practical. Remember to use ac meters. 12-200S 3-95 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 3-96 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.7.1 Perform Practical In Practical 1, you found that the anode current must be reduced to below IH to switch the SCR off. This is the only way of switching off. You CANNOT do it by reducing the gate current. If the anode supply is an alternating voltage it will go negative every half-cycle, reducing the anode current to zero. Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 9. Fig 9 Test Circuit with an ac Supply Repeatedly increase and decrease the gate current and observe what happens. Observe the brightness of the lamp and compare this with that for the 20 V dc supply. 12-200S 3-97 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.7.2 Questions 1. What do you observe when you repeatedly increase and decrease the gate current? Explain what you think is happening. 2. Why does the lamp burn less brightly with the ac supply than it did with the 12 V dc supply? 3. The SCR in fig 10 has a maximum steady anode current capability of 10 A. Given that VAK (sat) is 1.5 V at this current, find: Fig 10 (a) The power dissipation in the SCR at maximum anode current. (b) The value of R. (c) The power dissipation in R. (d) The efficiency of the SCR as a switch for a 10 A anode current. 3-98 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.8 Results Required When you have performed this Assignment you should have: seen that SCR's can be regarded as two interconnected transistors, learnt that SCR's can be triggered on by a gate current but triggered off only by reducing the anode current, investigated the operation of an SCR for both dc and ac anode supply voltages, learnt that SCR's can be triggered unintentionally by high temperature, over voltage or a rapidly rising anode voltage. Your report should contain: the circuits that you investigated, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. 12-200S 3-99 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.7.9 Practical Considerations and Applications SCR's can be triggered unintentionally in several ways and you have to be aware of these as they could be the cause of wrong operation. Fig 11 illustrates this. Fig 11 False Triggering Mechanisms In (a) a high temperature increases the leakage current of the two 'transistors' in the SCR. This is the small collector-emitter current that flows when there is zero base current. If it becomes too great it will be enough to initiate the trigger action. If a very high forward voltage is applied, as in (b), the 'transistors' can break down and this too will initiate triggering. Fig 11(c) shows a very rapidly rising anode-cathode voltage. Every transistor has some capacitance from collector to emitter as shown in fig 12. A fast-rising anode-cathode supply causes small currents in these capacitors and can act to cause triggering. Fig 12 Stray Capacitance Positions. Steps must always be taken in practice to avoid each of these possible false trigger mechanisms. 3-100 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B SCR's are available to carry currents from less than 1 A up to 1000 A or more. They therefore find use in the switching of heavy electrical equipment, where they replace contactors. The following advantages should be obvious: No moving parts No contact arcing No bad contacts due to corrosion or dirt In addition to simply switching currents on and off, SCR's can be made to control the mean value of a load current without dissipating large amounts of power. In this application they can replace bulky high wattage rheostats and save electrical energy at the same time. A good example of this is the control of theatre lighting. The introduction to the Trigger Devices Assignment explains how this can be done. 12-200S 3-101 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.7.10 Results Table TRIGGER CURRENT (IGT) SATURATION VOLTAGE (VAK (sat)) HOLDING CURRENT (IH) mA V mA Fig 5 3-102 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.8 Chapter 3 Assignments using Workboard 12-200-B The TRIAC Assignment 3.8.1 Objectives To recognise a TRIAC device. To understand the bidirectional nature of the TRIAC and its areas of application. To appreciate the different behaviour of the device in the four operating quadrants. 3.8.2 Prerequisite Assignments The Silicon-Controlled Rectifier (SCR) 3.8.3 Knowledge Level Before working this assignment you should: Know how to use Cartesian axes involving four quadrants. 3.8.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, +5 V dc regulated and +15 V dc regulated, ac supply; 12 V rms 50 or 60 Hz isolated from other supplies (eg, Feedback Teknikit Console 92-300). 1 Multimeter OR Feedback Virtual Instrumentation may be used in place of the multimeter 12-200S 3-103 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.5 Background In the SCR Assignment you learnt that the SCR can be used to switch a unidirectional current but it will not conduct in reverse. An alternating supply is often necessary to ensure that the SCR will switch off. It is rather inefficient, because it conducts only every other half-cycle (like a half-wave rectifier as described in the Half-wave Rectification Assignment). Fig 1 shows the basic single-SCR circuit and also one way of using four SCR's in a bridge to achieve controlled full-wave rectification. Fig 1 Half-wave and Bridge SCR Circuits Note that, in a bridge circuit, gates G1/G2 are triggered together on one half-wave and G3/G4 on the next. A simpler and less expensive way of obtaining bidirectional conduction is to use a TRIAC. Fig 2 shows a typical device and its graphical symbol. Fig 2 A TRIAC and its Graphical Symbol 3-104 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B A TRIAC, like an SCR, is a type of thyristor. Although it has the same basic four layers of semi-conductor materials, its detailed construction is too involved to be described here. The behaviour of the TRIAC is very similar to that of the SCR but it can be triggered into conduction by gate current for either polarity of the voltage between terminals T 1 and T2. Fig 3 shows the four modes in which a TRIAC can be operated. Fig 3 TRIAC Triggering Modes With reference to Quadrant I, the TRIAC is usually triggered by a positive gate current (mode I +), but can be triggered by negative gate current, (mode I -). Similarly in Quadrant III negative IG is usual (mode III-), but positive IG is possible (mode III+). Modes I- and III+ are, however, less sensitive than the usual modes, I+ and III-. 12-200S 3-105 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.6 Practical 1 In this Practical you will confirm that a TRIAC may be triggered in any of the four modes referred to in the Background section. The circuit that you will be using is shown in fig 4. Fig 4 Initially, you will set the gate and supply voltages to +15 V and then increase the gate current of the device until the lamp lights and you will note the gate current required to achieve this. You will then, in turn, set up the other three combinations of positive and negative gate and supply voltages to provide the four quadrants of operation of the device, again noting the gate currents required to obtain conduction. Finally, you will find the holding current for the device. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-106 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-107 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.6.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 5. Fig 5 Test Circuit for Trigger Current Copy the results table as shown in fig 6, found in the Results Table section of this assignment, for your results. Set the potentiometer to zero (anti-clockwise) and switch on the power supplies. Slowly increase the gate current until the lamp lights, noting the value of I GT when this occurs. Record this in your table under IGT for mode I+. Switch off and move link 1 to apply -15 V to the gate circuit instead of +15 V. Repeat the measurement and record the value of IGT for mode I-, reversing the meter connections if necessary. Now move link 2 to apply -15 V to the lamp. Repeat the measurement of IGT for mode III-. Finally restore the gate supply to +15 V and measure I GT for mode III+. You should find that Modes I+ and III- have similar values of IGT but that modes I- and III+ require comparably greater gate currents to cause triggering. TRIACs, like SCRs, require a minimum current, called the HOLDING CURRENT, to keep them in conduction. You can confirm this if you wish for mode I+ by the same method as used in the SCR Assignment. 3-108 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.7 Practical 2 In this Practical you will set up a simple TRIAC switch circuit and investigate its operation. The circuit that you will be using is shown in fig 7. Fig 7 Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-109 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 3-110 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.7.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 8. Fig.8 Simple TRIAC Switch Circuit. Verify that: If link A is not connected there is no gate current and the lamp does not light. If A is connected to point B, gate current flows at every half-cycle and the lamp lights. 12-200S 3-111 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.7.2 Questions 1. In fig 8 what do you expect to happen if A is connected to point C? Confirm by experiment and explain your answer. 2. Which mode or modes are in use for: 'A' connected to 'B', 'A' connected to 'C'? 3-112 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.8 Results Required When you have performed this Assignment you should have: learnt that a TRIAC is a four-layer thyristor device similar to the SCR, seen that a TRIAC can be triggered into conduction in either direction, Learnt that there are four triggering modes, of which two are preferred. Your report should contain: the circuits that you investigated, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. 12-200S 3-113 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.8.9 Practical Considerations and Applications TRIACs have the same breakdown voltage, temperature and rate of voltage rise limitations as SCR's. They are available in a wide range of voltage and current ratings. Apart from the bidirectional current capability and the need to consider the triggering modes, TRIACs are in most other respects similar to SCRs in their range of applications. 3-114 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.8.10 Results Table MODE I+ I– III– III+ IGT (mA) Fig 6 12-200S 3-115 Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.8.11 Further Work Fig 9 shows a simple TRIAC switch circuit. 12V lamp 100R T 2 15V rms R +5V G T 1 0V Fig 9 Simple TRIAC Switch Circuit. Use your measured results for IGT and assume that the voltage from G to T 1 will be about 1 V. Suggest a value for R which, when the switch is closed, will give: Half-wave operation of the lamp. Full-wave operation of the lamp. 3-116 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Trigger Devices – The DIAC and UJT Assignment 3.9 3.9.1 Objectives To be able to recognise DIAC and UJT devices and their symbols. To understand the need for trigger devices when used with thyristors. To appreciate the main features of the DIAC and UJT. 3.9.2 Prerequisite Assignments The Silicon-controlled Rectifier (SCR) The TRIAC 3.9.3 Knowledge Level Before working this assignment you should: Know how to use an oscilloscope. 3.9.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc regulated +15 V dc regulated (eg, Feedback Teknikit Console 92-300). 1 2-channel oscilloscope 1 Multimeter OR Feedback Virtual Instrumentation may be used in place of the oscilloscope and multimeter 12-200S 3-117 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.5 Background In the SCR and TRIAC Assignments two semiconductor switches (or thyristors) were studied; the SCR and the TRIAC. In ON-OFF switching applications they could be triggered by simple circuits producing steady gate currents. Fig 1 is an example of such a circuit using an SCR. Switch open - no gate current - no conduction Switch closed - Gate current flows - SCR Conducts on positive half-cycles Fig 1 An SCR Circuit. REMEMBER: A thyristor will switch off only when its anode-cathode voltage falls to zero. If it is required to control the mean value of a load current, rather than just switch it on and off, there is only one method available. This is illustrated in fig 2 for an SCR. Fig 2 SCR Conduction for Different Delay Times. 3-118 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B A steady gate current would allow conduction over the full period of the positive half-cycle. If instead, a short pulse of gate current is applied at the trigger points, conduction occurs over part of the half-cycle only. This reduces the mean current. The mean current can be varied by changing the delay time T between the start of the cycle and the trigger. This is known as phase control. Fig 3 explains why. Fig 3 Phase Control of an SCR. The supply wave A is delayed by the phase shift to give B. When B reaches a certain trigger level the trigger circuit generates a gate pulse C for the SCR. To achieve phase control, then, two things are needed: a. A variable phase shift circuit (usually passive components such as resistors and capacitors). b. A trigger circuit that can produce a pulse when the delayed waveform reaches a certain level. In this assignment you will look at two devices which serve as trigger generators, the DIAC (DIode AC switch) and the UJT (Uni-Junction Transistor). 12-200S 3-119 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.6 Practical 1 In this Practical you will investigate the operation of a DIAC. The circuit that you will be using is shown in fig 4. Fig 4 Initially, you will set the dc voltage to zero and then you will increase this voltage until the device conducts. You will use the oscilloscope to observe and measure the voltages around the circuit and you will construct an approximate characteristic for the DIAC. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-120 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-121 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.6.1 Perform Practical Figure 5 shows the symbol and a typical voltage-current characteristic. An alternative DIAC symbol is shown in fig 6. Fig 5 The DIAC, its Graphical Symbol and Characteristic Fig 6 An alternative DIAC symbol Identify the DIAC on your 12-200-B workboard. The DIAC is made like a transistor but has no base connection. When a voltage greater than VBR is applied, breakdown occurs. In an ordinary diode the voltage would then remain constant as the current increased. In the DIAC the transistor action causes the voltage to reduce as the current increases. This gives the characteristic a negative resistance, as shown in fig 5. The DIAC is symmetrical and therefore has the same characteristic for negative voltages. It is the negative resistance that makes the DIAC suitable as a trigger for an SCR or TRIAC. To test this, ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 7. 3-122 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 7 The DIAC Test Circuit Set the variable dc supply to zero and switch on the supplies. Slowly increase the variable dc voltage until the waveform at Y2 suddenly appears. That is, the DIAC 'switches on'. Notice the very rapid rise of VR, produced by the negative resistance. See fig 8. Fig 8 DIAC Waveforms Measure VBR and VR from the oscilloscope. VBR is the DIAC breakover voltage. VR is the load voltage. VR is the DIAC current immediately after switch-on. 1000 VBR - VR is the voltage across the DIAC immediately after switch-on. 12-200S 3-123 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B From these figures it is possible to construct an approximate characteristic for the DIAC as in fig 9. Fig 9 The DIAC Characteristic and Load Line Fig 9 represents the conditions just before switch-on, and Q the conditions just after. The values shown are not necessarily the correct ones. Prepare a graph like fig 10. on which to plot your results and use your own measurements to draw a graph like fig 9. Fig 10 The DIAC Characteristic 3-124 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.7 Practical 2 In this Practical you will investigate the operation of a UJT. The circuit that you will be using is shown in fig 11. Fig 11 Again, you will set the variable dc voltage to zero and then you will increase this voltage until the device switches on. You will construct a characteristic for the UJT. Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-125 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 3-126 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.7.1 Perform Practical Fig 12 shows the appearance of a Unijunction Transistor (UJT) (like an ordinary transistor), its graphical symbol, and gives an indication of its construction. Fig 12 Unijunction Transistor Details Identify the Unijunction Transistor (UJT) on your 12-200-B workboard. Base B2 is biased positive relative to B1. This sets up a reverse bias at the diode PN junction. This bias is overcome when a sufficient positive voltage is applied to E. Then emitter current flows and the effect of the current already flowing from B 2 to B1 is to give the E B1 diode a negative resistance, similar to that in the DIAC. Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 13. Fig 13 A UJT Test Circuit and Characteristic Set the variable dc voltage to zero and switch on the power supply. Slowly increase the variable dc until the emitter current suddenly increases. That is the UJT 'switches on'. 12-200S 3-127 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Copy the results table as shown in fig 14, found in the Results Table section of this assignment, for your results. Record the value of VEB1 just before switch-on (point P), also the values of VEB1 and IE just after switch-on (point Q). Slowly reduce the variable dc voltage until the emitter current suddenly switches off again. Record, in your table the values of IE and VEB1 just before switch-off (point R) and the value of VEB1 just after switch-off (point S). You can now construct the characteristic for your UJT similar to the example shown in fig 15. Fig 15 Graph Layout for UJT Characteristic. 3-128 Layout a graph like fig 16 on which to plot your results. 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 16 The UJT Characteristic Enter points P, Q, R and S and the load lines on the axes of your graph of using your measured values from your table. Sketch in the UJT characteristic. 12-200S 3-129 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.7.2 Questions 1. What do you think will happen if VEB1 is made negative? 2. Study your graphs for the DIAC and UJT and determine what are the main differences between the characteristics of the two trigger devices? 3-130 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.8 Results Required When you have performed this Assignment you should have: learnt that SCRs and TRIACs used to control the mean value of a load current need phase-delayed trigger pulses, learnt that the DIAC and UJT are suitable devices to produce these pulses for the TRIAC and SCR respectively, learnt that the DIAC and UJT both possess negative-resistance characteristics which allow them to switch on rapidly once a certain applied voltage level is reached. Your report should contain: the circuits that you investigated, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. 12-200S 3-131 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.9 Practical Considerations and Applications The DIAC, because of its bidirectional operation, is primarily used to trigger TRIACS; the UJT, being unidirectional, is suitable only for use with SCR's. Both devices are normally used in a circuit such as fig 17. Fig 17 A Relaxation Oscillator used as a Trigger Generator This circuit forms a Relaxation Oscillator and operates as follows: R and C form a variable delaying circuit to obtain the necessary phase control as described in the introduction. When C is sufficiently charged (ie, up to VBR for the DIAC or VP for the UJT), the device triggers and C discharges into RL forming a short pulse. When C is discharged sufficiently (e.g. down to point R on the UJT characteristic) the device turns off and C starts to recharge. All the time the supply voltage is large enough, the circuit goes on oscillating in this way. Fig 18 shows a typical output for a UJT driven by a full-wave rectified input. Fig 18 Waveforms of a Relaxation Oscillator. A chain of trigger pulses is often better than just one pulse as it gives a greater certainty of triggering the SCR or TRIAC. 3-132 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.9.10 Results Table CONDITION IE (mA) Just before switch-on 0 VEB1 (V) POINT P Just after switch-on Q Just before switch-off R Just after switch-off 0 S Fig 14 UJT Measurements 12-200S 3-133 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.9.11 Further Work Fig 19 shows a practical relaxation oscillator circuit using a UJT. Fig 19 UJT Relaxation Oscillator Circuit Construct the circuit and observe the output on an oscilloscope. Sketch what you see. 3-134 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10 The Field Effect Transistor Assignment 3.10.1 Objectives To understand the difference between bipolar and field-effect transistors To distinguish between JFET and MOSFET types and between N and P channel construction. To be able to recognise the basic characteristics of a JFET. To know the principal advantages of FETs and some applications. 3.10.2 Prerequisite Assignments Transistor Familiarisation The Common-Emitter Transistor 3.10.3 Knowledge Level The Common-Emitter Transistor Know how to use an oscilloscope. 3.10.4 Equipment Required Qty Apparatus 1 Basic Electricity and Electronics Module 12-200-B 1 Power Supply Unit, 0 to 20 V variable dc regulated +15V dc regulated (eg, Feedback Teknikit Console 92-300). 1 2-channel oscilloscope 1 Function Generator, 2 V pk-pk at 1 kHz 3 Multimeters OR Feedback Virtual Instrumentation may be used in place of the oscilloscope and two multimeters 12-200S 3-135 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.5 Background Field-Effect Transistors (FETs) are made in various forms. One type, the Junction FET (JFET) has a construction quite similar to the UJT (Trigger devices Assignment) but works in a different way. Fig 1 shows the construction, graphical symbol and physical appearance of a typical JFET. Fig 1 JFETs - Construction, Symbols, and Appearance. As can be seen, the JFET has two forms; the N-channel and P-channel which are analogous to PNP and NPN in ordinary transistors. You will look more closely at the Nchannel type. Fig 2 shows an N-channel JFET and its bias voltages. Fig 2 The Bias Arrangement for an N-channel JFET. The channel is a resistive path through which voltage VDS can drive a current ID. 3-136 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B A voltage gradient is thus formed down the length of the channel, the voltage becoming less positive as you go from drain to source. The PN junction thus has a high reverse bias at D and a lower reverse bias at S. This bias causes a 'DEPLETION LAYER', whose width increases with the bias. Depletion means a reduction of available electrons to carry current. If V GS is made more negative, the depletion layer increases in width at all points. The values of V DS and VGS both influence the width of the depletion layer. This alters the effective channel resistance and hence ID. Fig 3 shows this. Fig 3 The Depletion Effect. As VGS increases negatively the channel is 'squeezed', reducing the current ID. But the GATE-CHANNEL junction is like a reverse-biased junction diode and thus carries only a very small current. ID is controlled by VGS through a 'field effect'. Hence the name FET. This Assignment investigates how VDS and VGS affect ID. 12-200S 3-137 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.6 Practical 1 In this Practical you will investigate the bias requirements of an N-channel Junction FET. The circuit that you will be using is shown in fig 4. Fig 4 You will measure the drain current and the gate-source voltage for a number of set drainsource voltages and plot the output (drain) characteristics for the FET. Connect up the circuit as shown in the Patching Diagram for this Practical. 3-138 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 1 Patching Diagram 12-200S 3-139 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.6.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 5. Fig 5 Test Circuit for a Typical N-channel JFET Set the potentiometer anti-clockwise and the variable dc voltage to zero. Switch on the power supply. Go to the Results Tables section of this Assignment and copy fig 6 to tabulate your results. Now set VDS to the first value in the table and then read ID for each value of VGS. Repeat for all the values of VDS in the table, recording the corresponding ID values. Prepare a graph like fig 7. 3-140 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Fig 7 JFET Drain Characteristics. Plot the results from your table onto your graph, drawing one curve of ID against VDS for each value of VGS. 12-200S 3-141 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.6.2 Questions 1. Study your graphs and answer the following questions: a) Above which values of VDS is ID almost unaffected by VDS when VGS = 0? b) For a given value of VDS, (say 10 V), do equal changes of VGS cause equal changes of ID? 3-142 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.7 Practical 2 In this Practical you will endeavour to measure the gate current of the JFET. The circuit that you will be using is shown in fig 8. Fig 8 Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-143 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 2 Patching Diagram 3-144 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.7.1 Perform Practical Ensure that you have connected up the circuit as shown in the Patching Diagram. On your circuit set VDS to 10 V and VGS to -1.0 V. Then alter the circuit to place the ammeter in place of the link in the gate lead as in fig 9. and try to measure I G. Fig 9 Measuring Gate Current. Record if you can measure IG and, if so, its value. 12-200S 3-145 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.7.2 Questions 1. Can you measure IG or is it too small? 3-146 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.8 Practical 3 In this Practical you will connect up the JFET in common-source connection as an amplifier. The circuit that you will be using is shown in fig 10. Fig 10 You will apply a sinusoidal input voltage to the amplifier at 1 kHz and you will observe the output voltage on an oscilloscope. You will calculate the voltage gain of the circuit. You will also estimate the input resistance of the amplifier. Connect up the circuit as shown in the Patching Diagram for this Practical. 12-200S 3-147 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Practical 3 Patching Diagram 3-148 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.8.1 Perform Practical An FET can be used to amplify signals in a manner similar to a transistor in commonemitter connection. In this case it is called common-source. To obtain an output voltage you insert a load resistance in the drain lead, the effects of this being represented on the characteristic by a load line. Fig 11 shows a Practical amplifier circuit with a typical characteristic and load line. Ensure that you have connected up the circuit as shown in the Patching Diagram and that it corresponds with the circuit shown in fig 11. Fig 11 Test Circuit and Characteristic On your graph draw a load-line from VDD = 15 V at an angle suitable for the 1kohm load and select an operating point at about VDS = +10 V. Switch on the supplies and adjust VGS to give this operating point. Now apply an input of 2 V peak-to-peak at 1000 Hz from the generator and observe the output on the oscilloscope. Measure the peak-to-peak output voltage and calculate the voltage gain 12-200S Vo . Vi 3-149 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Now change the resistor RG, as indicated in the Patching Diagram. Find the one that makes the output signal about half its original size. This value is equal to the input resistance of the amplifier as fig 12 shows. Fig 12 Input Resistance Measurement 3-150 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.10.8.2 Questions 1. Is the output from your amplifier a good sine-wave? 2. The input resistance of fig 11 can not be greater than the bias resistor RG. Is it , however, much less than this? If not, what does this indicate? 3. An important parameter of an FET used as an amplifier is its transconductance. This is defined by: Transconductance (gS ) = change in Id change in VGS mA/V (common source) Study your graph, fig 11 and estimate the change in Id for a 0.5 V change in VGS when VDS = 10 V and VGS = 1.0 V. Then find gs. The voltage gain (A) for a load resistor R is given by: g R A = S , where R is in ohms ( 10 3 ) Use this expression to verify the voltage gain 12-200S Vo measured in the Assignment. Vi 3-151 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.9 Results Required When you have performed this Assignment you should: Understand the difference between bipolar and field-effect transistors, Know how to bias a JFET for correct operation, Have plotted and be able to recognise the basic characteristics of a JFET, Know the principal advantages of FETs. Your report should contain: the circuits that you investigated, the results that you achieved, conclusions on your findings in the Assignment. To produce your report you should use a word processing package. 3-152 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B 3.10.10 Practical Considerations and Applications So far, you have looked at an N-channel JFET. A P-channel JFET is very similar in operation but uses reversed-bias voltages as in fig 13. Fig 13 A P-channel JFET and Characteristic Another form of FET exists whose gate is insulated from the channel (insulated gate FET). The most common insulation method is a metal-oxide layer and the type is called MOSFET. The gate on a JFET must not be biased in such a way as to forward-bias the PN junction however, in a MOSFET, no such limitation applies. It is therefore possible to bias the gate in either polarity. Fig 14 shows the usual characteristics of two types of N-Channel MOSFET. Fig 14 N-channel MOSFET Characteristics and Graphical Symbols 12-200S 3-153 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B The depletion-mode type is like a JFET with an extended gate bias range but the enhancement-mode is quite different since at VGS = 0, no current flows at all. This is often a useful feature. Two matching types of MOSFET exist with P-channel and have reverse polarities of bias. Their symbols are shown in fig 15. Fig 15 P-channel MOSFET Symbols You can put all these types together in a family tree as in fig 16. Fig 16 An FET Family Tree. MOSFETs have even higher input impedances than JFETs All FETs are useful for amplification with minimum load on the source. Enhancement-type MOSFETs are specially valuable as electronic switches because with no bias they are normally non-conducting and the high gate resistance means that very little control current is needed. MOSFETs, due to their very high gate resistance, can easily accumulate large static charges and can become damaged unless carefully handled. Some types are fitted internally with protective Zener diodes to prevent damage during handling. 3-154 12-200S Chapter 3 Assignments using Workboard 12-200-B BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL 3.10.11 Results Table ID (mA) for VDS = VGS(V) 0 0.5 1 2 (V) 5 10 15 0 –0.5 –1.0 –1.5 –2.0 –2.5 Fig 6 JFET measurements 12-200S 3-155 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Chapter 3 Assignments using Workboard 12-200-B Notes 3-156 12-200S Appendix A BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Appendix A SI Units SI Units The units used throughout this manual are those of the Systeme International d'Unites (SI). There are seven basic units in the International System (SI), these are: Table 1 Basic SI Units Quantity Name of unit Symbol length metre m mass kilogram kg time second s electric current ampere A kelvin K candela cd mole mol thermodynamic temperature luminous intensity amount of substance From these seven basic units all other units may be derived; for example: The derived unit for force is the newton (N), which is that force which, when applied to a body of one kilogram, gives it an acceleration of one metre per second squared. Force (newton, N) = mass (kilogrammes, kg) x accn (metres per second squared, m/s 2). Tables of some of these derived SI units are to be found in this appendix and the definitions of those SI units with special names are to be found in Appendix B. Appendix C gives the relationships between some UK units and SI units. Some of the units are inconveniently large or small in practical circumstances. Hence standard multiples or sub-multiples of the basic unit are commonly used. These are shown in Table 2 reproduced overleaf. 12-200S A-1 Appendix A BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL SI Units The names of the multiples and sub-multiples of the units are formed by means of the following prefixes: Table 2 Multiples and Submultiples Factor by which the unit is multiplied Prefix Symbol 1,000,000,000,000 = 1012 tera T 1,000,000,000 = 109 giga 6 mega M 3 kilo k 2 hecto h 1 deca da –1 deci d –2 centi c –3 milli m –6 micro –9 nano n –12 pico p –15 femto f –18 atto a 1,000,000 =10 1000 = 10 100 = 10 10 = 10 0.1 = 10 0.01 = 10 0.001 = 10 0.000 0001 = 10 0.000 000 000 = 10 0.000 000 000 000 = 10 0.000 000.000 000 001 = 10 0.000 000 000 000 000 001 = 10 In electronics, the ampere is frequently too large a unit for normal usage. Current is thus measured often in milliamperes. There are one thousand milliamperes in one ampere. ie, 1000 mA = 1A 1 mA = 0.001 A = 10–3 A The unit of the ohm is often too small a unit of resistance for resistors used in electronic circuits. Resistance may then be in kilohms or megohms. ie, 1000 = 1k A-2 1,000,000 = 1M = 106 12-200S Appendix A BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL SI Units Table 3 Some derived SI Units having special names Physical quantity SI unit Unit symbol force newton N = kg m/S2 work, energy, quantity of heat joule J=Nm power watt W = J/s electric charge coulomb C = As electrical potential volt V = W/A electric capacitance farad F = As/V electric resistance ohm = V/A frequency hertz Hz = s-1 magnetic flux weber Wb = Vs magnetic flux density tesla T = Wb/m2 inductance henry H = V s/A Table 4 Some derived SI units with complex names 12-200S Physical quantity SI unit Unit symbol area square metre m2 volume cubic metre m3 density (mass density) kilogram per cubic metre kg/m3 velocity metre per second m/s angular velocity radian per second rad/s acceleration metre per second squared m/s2 angular acceleration radian per second squared rad/s2 pressure newton per square metre N/m2 surface tension newton per metre N/m thermal conductivity watt per metre kelvin W/(mK) electric field strength volt per metre V/m magnetic field strength ampere per metre A/m A-3 Appendix A BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL SI Units Notes A-4 12-200S BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Appendix B Appendix B Definition of Derived Units having Special Names Definition of Derived Units having Special Names FORCE The unit of force called the newton is that force which, when applied to a body having a mass of one kilogram, gives it an acceleration of one metre per second squared. ENERGY The unit of energy called the joule is the work done when the point of application of a force of one newton is displaced through a distance of one metre in the direction of the force. POWER The unit of power called the watt is equal to one joule per second. ELECTRIC CHARGE ELECTRIC POTENTIAL ELECTRIC CAPACITANCE ELECTRIC RESISTANCE FREQUENCY 12-200S The unit of electric charge called the coulomb is the quantity of electricity transported in one second by a current of one ampere. The unit of electric potential called the volt is the difference of potential between two points of a conducting wire carrying a constant current of one ampere, when the power dissipated between these points is equal to one watt. The unit of electric capacitance called the farad is the capacitance of a capacitor between the plates of which there appears a difference of potential of one volt when it is charged by a quantity of electricity equal to one coulomb. The unit of electric resistance called the ohm is such that a constant difference of potential of one volt, applied across a conductor of one ohm resistance, produces in this conductor a current of one ampere, this conductor not being the source of any electro-motive force. The unit of frequency called the hertz is the frequency of a periodic phenomenon of which the periodic time is one second. B-1 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL MAGNETIC FLUX MAGNETIC FLUX DENSITY ELECTRIC INDUCTANCE TEMPERATURE Appendix B Definition of Derived Units having Special Names The unit of magnetic flux called the weber is the flux which, linking a circuit of one turn produces in it an electromotive force of one volt as it is reduced to zero at a uniform rate in one second. The unit of magnetic flux density called the tesla is the density of one weber of magnetic flux per square metre. The unit of electric inductance called the henry is the inductance of a closed circuit in which an electromotive force of one volt is produced when the electric current in the circuit varies uniformly at the rate of one ampere per second. The units of Kelvin and Celsius temperature interval are identical. A temperature expressed in degrees Celsius is equal to the temperature expressed in kelvin less 273.15 k kThis is true for the thermodynamic scale and for the international practical scale of 1948. There are, however, slight differences between thermodynamic scale and practical scale. B-2 12-200S Appendix C Values of some UK Units in terms of SI Units BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Appendix C Values of some UK Units in terms of SI Units 1 yd 0.9144 m 1ft 0.3048 m 1 in 0.0254 m 1 mile 1609.344 m 1 in2 6.4516 x 10-4 m2 1 ft2 0.092 903 0 m2 1 yd2 0.836 127 m2 1 mile2 22.589 99 x 106 m2 1 in3 1.638 71 x 10-5 m3 1 ft3 0.028 316 8 m3 1 UK gal 0.4 546 092 m3 1 ft/s 0.3048 m/s 1 mile/h 0.447 04 m/s Mass 1 lb 0.453 592 37 kg Density 1 lb/in3 2.767 99 x 104 kg/m3 1 lb/ft3 16.0185 kg/m3 1 lb/UK gal 99.7764 kg/m3 Force 1 lbf 4.448 22 N Pressure 1 lbf/in2 6894.76 N/m2 Energy 1 ft lbf 1.355 82 J 1 cal 4.1868 J 1Btu 1055.06 J Power 1 hp 745.700 W Temperature 1 Rankine unit 5 of Kelvin unit 9 (= 1 Fahrenheit unit) (= 5 Length Area Volume Velocity 12-200S 9 of Celsius unit) C-1 BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Appendix C Values of some UK Units in terms of SI Units Notes C-2 12-200S Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Appendix D D.1 Semiconductors Semiconductors History Right from the early days of radio, semiconductors have been used; the early 'cat's whisker' diode was an example. At first the action of semiconductors was not at all thoroughly understood, and it was not until recently that these principles were further researched. This research led to the invention of the transistor in 1948. The transistor is a device that can perform most of the functions of a thermionic tube, but generally with greater efficiency, and with a great saving in space. The transistor is much smaller than a thermionic tube, does not require any heater power, operates at much lower potentials, and its development has made possible the reduction in power consumption and the miniaturisation of electronic equipment desirable in modern apparatus. D.2 Materials A good conductor of electricity is a material that has a large number of electrons that are free to move about the material. An insulator is a material that has almost no free electrons, thus the movement of electrons about the material is virtually nil. No material known is a perfect insulator, though to all intents and purposes those shown in fig D-1 have such high resistivities that they may be regarded as good insulators. Fig D-1 12-200S D-1 Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Semiconductors Between the conductors and insulators there fall materials which are neither good conductors nor good insulators. These are termed semiconductors. Semiconductor materials are used in transistors, diodes, integrated circuits, etc, and the most commonly used are Germanium and Silicon. Pure Germanium and Silicon are not good conductors of electricity (they are insulators at absolute zero degrees temperature, but have resistivities of about 60 and 60,000 ohms/cm3 respectively at room temperatures). Impure Silicon and Germanium have much lower resistivities of around 0.3 ohm/cm3 dependent on the type and amount of the impurities present. D.3 Crystals Most solids are crystalline in structure. This means that the atoms that make up the material are arranged in a regular fixed relationship with each other, the specific arrangement of atoms depending on the number of atoms present, their size, and the electric and inter-atomic forces between them. In both Silicon and Germanium the crystal structure is as shown in fig D-2. Fig D-2 The atom X is the centre of the small cube and is bound to its four nearest neighbours, A, B, C, D, which are at the alternate corners of the cube. This structure is repeated throughout the crystal as shown. Both Silicon and Germanium have four electrons in their outer shell (valence electrons). It is these electrons that are shared with neighbouring atoms to achieve the bonding between them. This is shown schematically in fig D-3. D-2 12-200S Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Semiconductors Fig D-3 Note that each nucleus/inner electron core is bonded to its neighbour's effectively by a pair of electrons. These bonds are called co-valent bonds. D.4 Intrinsic Conduction As the valence electrons serve to bind one atom to another in the lattice, they are also bound tightly into the structure. Hence, in spite of there being four valence electrons available for conduction, the crystals has a low conductivity. At absolute zero the ideal structure shown in fig D-3 will be achieved and the crystal will be an insulator, since no free carriers of electricity (electrons) are available. At room temperatures, however, some electrons will gain sufficient energy from thermal sources to enable some of the covalent bonds to be broken and make conduction possible. In giving an electron sufficient energy to allow it to break away from the rigid format shown in fig D3, and allowing it to wander freely through the crystal, a gap in the valence electron pattern is formed. This is represented in fig D-4. 12-200S D-3 Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Semiconductors Fig D-4 The covalent gap is called a Hole. It is just the absence of an electron. Holes can move through the lattice. This may appear strange, but an explanation follows: When a covalent bond is broken a hole is formed. Once this happens it is relatively easy for a valence electron from a neighbouring atom to break its covalent bond and take up the position of the hole, thus making a new covalent bond there. It will, of course, leave a hole behind at its old position. Thus the electron will have moved from, say, position A to position B, and a hole moved in the opposite direction, from B to A. This process is continued through the crystal giving what appears to be a conduction of holes in the opposite direction to the conduction of electrons. Hole conduction can be regarded as a way of conducting electricity without free electrons being present. Holes may be considered as physical entities, just as electrons are, but with a positive charge instead of a negative one. In a pure semiconductor the number of holes is equal to the number of electrons, with thermal energy producing hole-electron pairs, with other hole-electron pairs disappearing due to recombination. Hole conduction in a pure semiconductor is termed Intrinsic Conduction. D-4 12-200S Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL D-5 Semiconductors impurities Impurities are atoms of elements, other than the normal crystal element, which may be present in the lattice structure. Impurities may be found in the natural state of the crystal, or may be added intentionally during processing. There are two types of impurities of interest; these are called Donor and Acceptor impurities. Donor impurities are atoms with five electrons in the outer shell (a valency of five). Acceptor impurities are atoms with three electrons in the outer shell (a valency of three). D-6 Extrinsic Conduction Let us consider what happens when a donor impurity (5-valent) occurs in the semiconductor lattice, this is represented in fig D-5. Fig D-5 The donor impurity has five electrons in its outer shell. Four of these valence electronics will make the covalent bonds required for the lattice, the fifth will be nominally unbounded and available for conduction through the crystal. 12-200S D-5 Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Semiconductors Suitable impurities to be used as donors include antimony, arsenic and phosphorous, and as donors give an extra electron to the system producing an excess of negative carriers, the semiconductor with donor impurities is known as an n-type semiconductor. Introducing impurities into a pure semiconductor is called doping. If a semiconductor is doped with an n-type material, the number of electrons increases, and the number of holes decreases below that which would be available in an intrinsic semiconductor. This is due to more recombination using the extra electrons. If an intrinsic semiconductor is doped with acceptor impurities with three outer shell electrons (trivalent), the situation of fig D-6 develops. Fig D-6 Only three of the four associated covalent bonds can be made by electrons associated with the acceptor atom, and a hole results. Conduction of electricity in an acceptor doped semiconductor is by means of the holes, in a similar way as described earlier for intrinsic conduction of holes. When an intrinsic semiconductor is doped with an acceptor impurity the resultant doped semiconductor has an excess of positive carriers (holes), and is thus known as a p-type semiconductor. Refer back to fig D4 and you can now appreciate the differences in conductivity for intrinsic (pure) and doped semiconductor materials. D-6 12-200S Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL Semiconductors Always remember that the impurity atoms must form part of the lattice structure of the crystal. They cannot just fit in anywhere, but must take the exact place of where a semiconductor atom would be, and thus continue the structure of the lattice without interruption. An impurity atom lodged as shown in fig D-7 would not produce the same bonding, and would not give the required conductivity results. Fig D-7 For correct operation the impurity must actually substitute itself for a germanium atom, or be a Substitutional Impurity rather than just fitting in the gaps between atoms (the interstices), and Interstitial impurity, as shown in fig D-7. 12-200S D-7 Appendix D BASIC ELECTRICITY AND ELECTRONICS STUDENT’S MANUAL D-7 Semiconductors Semiconductor Devices Semiconductor materials are used in many modern electronic devices. Normally their action depends on there being a junction present between the two types of doped material. This junction is known as a P-N junction, because of the types of semiconductor material used. Devices using semiconductors include diodes, transistors and integrated circuits, and it has been the development of these devices, and other similar devices that has led to the vast expansion in electronics and space-age technology that has occurred in recent years. D-8 12-200S