HW10

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University of Notre Dame *

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40442

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Electrical Engineering

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Apr 3, 2024

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ECE 3355: Electronics Homework 10 Topic: BJTs Small Signal Analysis 1. From Sedra and Smith, 7th Edition, complete problems 7.125, 7.131, and 7.132. For the 8th edition, complete problems 7.128, 7.131, 7.132. Please indicate which edition you are using at the beginning of the homework set. 2. For the following circuit, use R s = 100 Ω , C 1 = 10 μ F, R 1 = 1 K Ω , R 2 = 220 K Ω , R 3 = 1.5 k Ω , R L = 500 Ω , V CC = +15 V, - V EE = -15 V, and β = 100. a. Confirm that the circuit is in the active mode b. Draw the small signal model of the circuit c. Find the amplifier’s ac gain ( v out / v in with source and load removed) d. Find the small signal input resistance (with the load attached) e. Find the small signal output resistance (with the source attached) f. Sketch the simplified model for the amplifier g. Find the voltage gain of the circuit (with the source and load attached) h. Find the current gain of the circuit (with the source and load attached) 3. For the following circuit, use R s = 500 Ω , C 1 = 0.1 μ F, C 2 = 1 μ F, R 1 = R 2 = 50 K Ω , R 3 = 1 K Ω , and R L = 100 Ω , V CC = +12 V, - V EE = -12 V, and β = 100. a. Confirm that the circuit is in the active mode b. Draw the small signal model of the circuit c. Find the amplifier’s ac gain ( v out / v in with source and load removed) d. Find the small signal input resistance (with the load attached) e. Find the small signal output resistance (with the source attached) f. Sketch the simplified model for the amplifier g. Find the gain of the circuit h. Sketch the Bode magnitude plot
ECE 3355: Electronics 4. For the following circuit, use R s = 1 K Ω , C 1 = C 2 = 1 μ F, R 1 = 4.7 K Ω , R 2 = 2.2 K Ω , R 3 = 1 K Ω , R 4 = 1 K Ω , R L = 500 Ω , V CC = +15 V, - V EE = -15 V, and β = 100. a. Confirm that the circuit is in the active mode b. Draw the small signal model of the circuit c. Find the amplifier’s ac gain ( v out / v in with source and load removed) d. Find the small signal input resistance (with the load attached) e. Find the small signal output resistance (with the source attached) f. Find the gain of the circuit g. Using the simplified amplifier model, sketch the Bode magnitude plot 5. Solve the following problem.
ECE 3355: Electronics (a) Complete a DC analysis to find the values of the small signal model and ensure that the transistor in an active mode using V CC = 20 V, R s = 10 Ω , R B1 = R B2 = R B3 = 100 K Ω , R C1 = 540 Ω , R C2 = 1075 Ω , R L = 1000 Ω , C 1 = 75 μ F, C 2 = 186 nF, C 3 = 48 μ F, and β = 100. Use the DC analysis to compute the parameters for the small signal analysis. (b) Write an expression (no values!) for the midband gain, v out /v in , with the source and load removed. Note that v in is the node between R s and C 1 . (c) Find the input and output resistances. (d) Estimate the RC time constants for each of the stages of the amplifier. (e) Sketch the Bode magnitude plot for the circuit.
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