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EEE2146 Microelectronics Circuit Analysis and Design Experiment MIC2 __________________________________________________________________________________________ MIC2: Investigation of Amplifier Parameters of a Common-Collector Amplifier Total Percentage: 5% (From 40% Coursework Mark) 1. Objective To investigate the voltage and current gains and input and output impedances with respect to different operating conditions of a common-collector amplifier. To determine the transistor parameters β, rπ and ro values at different biasing conditions. 2. Lists of Equipments and Components Equipments Qty. Components Adjustable DC power supply 1 BJT 2N2222A Function generator 1 Capacitor 10 µF (16 V) Digital multimeter 1 Resistors (0.25 W) / Ω: 10, 20, 100, 200, 510, 4.7k, 5.1k, 10k, 6.2k Dual-channel oscilloscope 1 Breadboard 1 Resistors (0.25 W) 1 kΩ Qty. 1 2 Each one 2 3. Introduction Figure 1, Figure 2 and Figure 3 shows a common-collector amplifier circuit, its smallsignal equivalent circuit and its equivalent circuit with Thevenin’s equivalent output circuit. Because of the capacitors in the amplifier circuit, the voltage gain Av , current gain Ai , input impedance Z i and output impedance Z o are functions of frequency, therefore, they are vectors or complex numbers. The values of Av , Ai , Z i and Z o and their magnitudes can be determined in experiment with the below equations. vo | vo | Av | Av | vi | vi | | iL | iL | Ai | Ai | ii | ii | vi | vi |Z i | Z i | ii | ii R R |v o | L | Avo | | vi | v o L Avo vi | Z o RL | Z o RL The equation for Z o is derived according to Figure 3. Avo is unloaded voltage gain (RL = ∞), Avo vi is equal to unloaded output voltage voo . | Z o RL | (Z o RL )( Z o RL ) * , where (Z o RL ) * is the complex conjugate of (Z o RL ) . At mid-band frequencies, where the effect of the capacitors, i.e. reactance, is negligible, Av , Ai , Z i and Z o are almost independent of frequency, i.e. they are close to real numbers, Av, Ai, Ri and Ro. The equations to find the values of Av, Ai, Ri and Ro are given below, where all the currents and voltages are almost independent of frequency. v v i RL A v o , Ai L , R i i , v o Avo vi vi ii ii Ro RL For further information, you can refer to lecture notes or any microelectronics books. __________________________________________________________________________________ 1/4 EEE2146 Microelectronics Circuit Analysis and Design Experiment MIC2 __________________________________________________________________________________________ Figure 1: A common-collector amplifier. The voltages, currents and impedances (except VCC) have magnitude and phase. It is the same for those in Figure 2 and Figure 3. Figure 2: Small-signal equivalent circuit of the CC amplifier Figure 3: Equivalent circuit for the CE amplifier with Avo, Zi and Zo function of frequency BJT pin layout: General Guidelines (for Section 4, 5, 6 and 7): - Plan to carry out your experiments systematically and efficiently (e.g. table for recording data, measuring points, load connections). - Use tables to record data & calculated values. __________________________________________________________________________________ 2/4 EEE2146 Microelectronics Circuit Analysis and Design Experiment MIC2 __________________________________________________________________________________________ - - There are many calculations in Section 5, hence you need to show deriving equation work and describing calculation work (each repeated calculation work is not required to be shown). Use graphs to analyze recorded data and calculated values in Section 6, if necessary. Tables and graphs are useful tools to observe the changes of variables or parameters and to compare the same variable or parameter at different operating conditions. Graph is more suitable than table when the total number of values involved is large. You may use MS Excel or equivalent to plot graphs. 4. Experiments Experimental setup, measurements and data collection: (a) Construct the circuit as shown in Figure 1, where VCC = 12 V, R1 = 4.7 kΩ, R2 = 6.2 kΩ, RE = 510 Ω, RS = 5.1 kΩ, RL = 10 Ω, C1 = C2 = 10 µF. Record voltages VCC, VB and VE. (b) (With 0.2 V peak-to-peak (p-p) sine-wave for vs (RL = 10 Ω), record p-p voltages vi, vb, ve, and vo at several frequencies from 100 Hz to 50 kHz (vi may be 9-23 mV & vo may be 7-19 mV since β may be 50-300. If vi is not within 15-23 mV, change vs. Record vs value. Use this vs for the rest of experiments. Check vs time to time). Take at least 6 data points with about equal space on log-scaled frequency-axis. (c) With f = 10 kHz (vs = 0.2 V p-p), record p-p voltages vi and vo for RL = 10 Ω, 20 Ω, 100 Ω, 200 Ω, 1 kΩ, 10 kΩ and ∞. (d) Change RE to 1 kΩ. Record voltages VCC, VB and VE . (e) From Part (d), with f = 10 kHz (vs = 0.2 V p-p), record p-p voltages of vi and vo for RL = 10 Ω, 20 Ω, 100 Ω, 200 Ω, 1 kΩ and ∞. 5. Analysis Calculate the below: (a) β and rπ values from Part 4(a). v v i i v (b) o , o , L , L and i values for each recorded frequency from Part 4(b). v s vi i i i b ii v i i v (c) o , L , L & i values for each RL from Part 4(c). vi i i i b ii (d) β and rπ values from Part 4(d). v i v (e) o , L & i values for each RL from Part 4(e). vi i i ii (f) The Ro value/s from Part 4(b). (g) The Ro value/s from and Part 4(c). (h) The Ro value/s from Part 4(e). 6. Discussions Discuss on the below: (a) The calculated results in Part 5(b). What is the trend on vo vo i L i L v , , , and i as v s vi i i i b ii frequency changes (b) The calculated results in Part 5(c). What is the trend on vo vo i L i L v , , , and i when v s vi i i i b ii RL changes? __________________________________________________________________________________ 3/4 EEE2146 Microelectronics Circuit Analysis and Design Experiment MIC2 __________________________________________________________________________________________ (c) The calculated results in Part 5(c) and Part 5(e) by comparison. What can you see to vo vo i , and L when RE is doubled in Part 5(e) (i.e. compare at the same RL)? v s vi ii (d) What happen to the Ro values from Part 5(f) and Part 5(h). 7. Report Write a lab report consisting of experimental results, analysis, discussions and conclusions. Please include necessary graph, table or chart. The report needs to be HANDWRITTEN. Please include the standard lab report cover page. 8. Evaluation (Based on Rubrics as attached) References: Lecture notes or any microelectronics books Appendix: Log scale ~~ End of Lab sheets ~~ Prepared by: W.O. Siew, Nov 2013 Updated by: Zubaida Yusoff, Nov 2015 __________________________________________________________________________________ 4/4