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John Kurien EEL3304C: Lab 2 6690-5410 2/21/2006 I. Objectives The objectives of the experiment DSO to characterize a diode, and characteristics in various diode full-wave rectifier, and a diode were to learn how to use the Tektronix to investigate the diode circuits (i.e. half-wave rectifier, regulator). II. Equipment The following equipment was used: National Instruments ELVIS Textronix TDS2024 DSO 1N4148 Switching Diode 1N4732 Zener Diode Various Capacitors and resistors III. Prelab & Design The pre-lab data acquired about the 1N4148 switch diode and 1N4732 Zener diode were respectively taken from the following sources: http://ist-socrates.berkeley.edu/~physlab/bsc/PDFFiles/1N4148.pdf http://www.datasheetarchive.com/semiconductors/pdfdatasheet.php?Datashe et=57004 (Jinan Gude Electronics Device) The following data values were recorded: 1N4148 1N4732 VF 1.0 V VZ 4.7 V IZT 53 mA IZK 1 mA rZ 8 Ω Table 1: Recorded diode values Design a Half Wave Rectifier The following circuit was used to design the half wave rectifier. Figure 1: Half Wave Rectifier Circuit The input signal used was a 5 V peak-to-peak sine wave at 1 kHz and 10kHz. The expected outputs are shown below: 2 Figure 2: 1 kHz Output Figure 3: 10 kHz Output Notice that the signals do not change except for their periods. Also the output voltage (green) is slightly lower that the input voltage (red). The input was 2.5 V peak and the expected output was 1.5 V due to the drop from VF. Therefore it is reasonable to say that the frequency does not affect the output voltage. A general outline of the procedure established to conduct the experiment was: 1. Build circuit 2. Measure input a. Take picture 3. Measure output a. Take picture 4. Repeat for 1 kHz, 5 kHz, and 10 kHz Design a Peak Rectifier The following circuit was used to design the peak rectifier: Figure 4: Peak Rectifier Since the ripple of the circuit is defined as Vr using the following Vp equation we try to obtain a 10% ripple: Vr Vp fCR (Equation 1) therefore fCR must equal 10. (10k)(C)(1k)=10 => C = 1 μF 3 The predicted output was as follows: Figure 5: 1 kHz Output Figure 6: 10 kHz Output VR for 1 kHz was calculated: VR = (Ripple)(VP) = (0.1)(2.5 V) = 250 mV 10 kHz requires a different equation: T Vr 1 e CR Vp (Equation 2) 1ms (1F )(1k ) which results in: 1 e 63.2121% therefore Vr = (0.632121)(2.5 V) = 1.5803 V = 1580 mV A general outline of the procedure established to conduct the experiment was: 1. Build circuit 2. Use 10 kHz/1 kHz for C = 1 μF 3. Record values 4. Take picture of all graphs 5. Measure the ripple and calculate how close it is Design a Zener Diode Regulator The following circuit was used to design the Zener diode regulator: Figure 7: Zener Diode Regulator 4 VS varied from 7 V to 15 V and IL varied from 0 to 30 mA. VZO was calculated by: VZ = VZO + rZIZ (Equation 3) 4.7 V = VZO + (8 Ω)(23 mA) VZO = 4.276 V R was calculated by appling KVL: -7 V + (53 mA)R + 4.276 + (8 Ω)(23 mA) = 0 R = 47.9245 Ω ≈ 48 Ω The worst-case scenario for the power dissipation through the Zener diode and R is when IL is zero and VS is 15 V. V 2 (15 4.7) 2 PR 2.21369W R 47.9245 PZ VI (4.7V )(214.921mA) 1.01013 1.01W (Equation 4) (Equation 5) (214.921 was calculated by applying Ohm’s Law to the resistor R.) LiR V V VO r z %change Z S VS rz R VS VZ 8V %change (0.14305) 0.243489 24.3489% 4.7V rR V I V LoR O z %change Z L I L rz R I L VZ 30mA %change (6.8556) 4.3759% 4.7V Summarized results: Variable VZO R PR PZ Line Regulation Line Regulation % Load Regulation Load Regulation % Table 2: Summarized (Equation 6) (Equation 7) Value 4.276 V 47.9245 Ω 2.21369 W 1.01013 W 0.14305 V/V 24.3489% 6.8556 V/A 4.3759% Zener regulator values 5 IV. Experiment Diode Forward Characteristics The lab deviated slightly from the handout. Initial recordings for the switching and Zener diode were recorded with the Textronix 576 Curve Tracer as per the instructor. Later recordings were taken by the Textronix DSO. Switching Diode Zener Diode Voltage Current Voltage Current 0.7 V 5.4 mA 4.8 V 53 mA 0.72 V 5 mA 4.7 V 53 mA Table 3: Measured diode values Using the data collected the value of rz was calculated: 1 rz 4.8V 4.7V 1 3.33 Slope 0.3 -1 30mA rz Slope= (Equation 8) (Because this was performed on the Tektronix 576 a picture could not be obtained of the curve.) The data obtained from the same setup on the Textronix TDS2024 DSO was used to extrapolate the data to determine IS and n. Voltage (V) Current (mA) 0.000 0.009 0.040 0.008 0.080 0.008 0.119 0.008 0.159 0.009 0.199 0.009 0.239 0.009 0.278 0.009 0.318 0.011 0.357 0.014 0.396 0.021 0.433 0.036 0.475 0.077 0.514 0.162 0.550 0.321 0.588 0.660 0.628 1.342 0.667 2.596 0.702 4.393 0.728 6.239 0.751 8.286 0.769 10.099 Table 4: Zener diode I-V data The linear and logarithmic graphs are shown: 6 Figure 8: Linear I-V curve for the tested Zener Diode Figure 9: Logarithmic I-V curve for the tested Zener Diode 7 Zener Diode Properties (Refer to figure 17 at the end of the paper to see extrapolation of the linear region of the logarithmic plotting of the diode I-V values.) Extrapolating the linear portion back to the current axis gives a value of –0.075 mA. Thus IS is equal to 75 μA. Figure 9 gives a more detailed and accurate plot actually taken by the DSO. Since a decade of current change is defined by: ∆v = n x 60 mV (Equation 9) Values taken from the linear portion of the curve resulted in: 0.61 V-0.49 V = n x 60mV n=2 Design a Half Wave Rectifier The 1 kΩ resistor was measured at 0.97 kΩ. Each of the three tested frequencies, 1 kHz, 5 kHz, and 10 kHz had a 0.6 V voltage drop across the diode. Using Ohm’s Law the current for this circuit was: icalc = (2.5 V – 0.6 V)/1000 Ω = 1.9 mA (Equation 10) The graphs are shown below: Figure 10: Input and Output graphs for 1 kHz Figure 11: Input and Output graphs for 5 kHz 8 Figure 12: Input and Output graphs for 10 kHz Design a Peak Rectifier The values for the 1 kHz and 10 kHz waves are as follows: 1 kHz, 5 V Peak-Peak 10 kHz, 5 V Peak-Peak R 0.97 kΩ R 0.97 kΩ C 0.97 μF C 0.97 μF Vr 740 mV Vr 84 mV Vp 1.28 V Vp 1.02 V Vr/Vp 0.578125 Vr/Vp 0.082353 Table 5: 1 kHz, 5 V Peak-Peak Table 6: 10 kHz, 5 V Peak-Peak Vr/Vp for the 1 kHz was calculated as follows (as was the 10 kHz): Vr/Vp = 84 mV/1.02 V=0.082353 The graphs for the peak rectifiers showing Vr and Vp are below: Figure 13: 1 kHz Vp [Note to the reader: During the transfer of files the 1 kHz Vr file became corrupt. The file was unrecoverable.] Figure 14: 1 kHz Vr 9 Figure 15: 10 kHz Vp Figure 16: 10 kHz Vr Design a Zener Diode Regulator The circuit in Figure 7 was constructed. The 48-Ω resistor was measured at 48 Ω. The value for RL was given by our lab instructor and was told to be 160 Ω. Since a 160-Ω resistor was unavailable, a 151 Ω and 11-Ω resistor were placed in series to created a measured value of 162-Ω. Again the same worst-case situation was used for the power dissipation across R and the Zener diode. Values were measured for the Line and Load Regulation calculations. For the Line Regulation the actually values could be recorded for ΔVZ/VZ and ΔVZ/IL. The values were taken at nominal load current and nominal input voltage. For example the Load Regulation was calculated as follows: VZ 4.747 4.8581 3.7033 I L 30mA 0 (Equation 11) The percentages were calculated just as in Prelab. 10 The following table summarizes the results: Zener Diode Values Voltage Value Power Dissipation VR 10.10 V 2.12521 W VZO 5.1 V 1.0302 W Variable Value PR 2.12521 W PZ 1.0302 W Line Regulation 0.037464 Line Regulation % 5.8767% Load Regulation 3.7033 Load Regulation % 2.1784% Table 7: Measured Values (Calculated the same as in Prelab) 11 V. Discussion Diode Forward Characteristics IS was extrapolated by hand on semi log paper in Figure 17. Inaccuracies may be present due to human error. The value of n was exactly 2 and was calculated using the values from the picture taken by the DSO. The value of rZ was extremely far from the Prelab value as stated in the next section. Zener Diode Properties The Zener diode was warm to the touch but did not feel like it was extremely hot to the point of burns. It got warmer as the voltage increased. The value recorded for rZ was 3.33Ω. Percentage error for this value is below: TheoreticalValue ActualValue TheoreticalValue (100) 8 3.33 8 (100) 58.375% (Equation 12) As it can be seen the percentage error for the diode resistance was extremely high. This was due to the use of the Textonix 576 Curve Tracer, which was not very accurate in presenting values. Design a Half Wave Rectifier As Figures 10 through 12 show, the frequency of the input does not affect the output. The only change was the period between each graph as expected. Also the voltage drop due to the diode was the same with each (0.6 V). Design a Peak Rectifier The percentage errors for Vr were above 50 percent for both frequencies. This is because the Vp value was not the same as calculated in Prelab. The value that does matter however is the ratio of the two identifying the ripple. For 1 kHz the percentage error was only about 8.54% and for 10 kHz it was about 17.65%. The error is because of the increased time for the capacitor to discharge. The 10 kHz signal discharge time was shorter as opposed to a longer discharge time for the 1 kHz. Thus the measurements taken for the 10 kHz signal were more sensitive to small inaccuracies in measurements. Other factors such as nonidealities in resistor and capacitor values or capacitance of the oscilloscope seem to be negligible. 12 Design a Zener Diode Regulator The table below displays the theoretical values, recorded values, and percentage errors for the Zener diode regulator: Variable Theoretical Recorded Percentage Error PR 2.21369 W 2.12521 W 3.9969% PZ 1.01013 W 1.0302 W 1.9869% Line Regulation 0.14305 V/V 0.037464 73.8106% Line Regulation % 24.3489% 5.8767% 75.8646% Load Regulation 6.8556 V/A 3.7033 45.9814% Load Regulation % 4.3759% 2.1784% 50.2182% Table 8: Zener diode regulator percentage errors The power dissipations had minimal percentage errors while large errors were seen in both the line and load regulations. This was because the actual value of rz was extremely far from the Prelab value calculated. The value for rz was incorrect by over 50 percent, which altered the results seen in the line and load regulation by an extreme amount. 13 VI. Summary Knowledge of switching diodes and Zener diodes was obtained. Not all diode characteristics were experimentally verified. Some results were not obtained as desired because rz was not accurate, and a portion of the lab used the curve tracer, which was not very accurate. A better understanding of how to operate the Textronix TDS2024 DSO was also gained. 14