GATE EC 2020 Set 1 — Question 45
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Analog Circuits → BJT & MOSFET Amplifiers → Midband Gain & Resistances
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Question
For the BJT in the amplifier shown below, , . Assume that BJT output resistance () is very high and the base current is negligible. The capacitors are also assumed to be short circuited at signal frequencies. The input is direct coupled. The low frequency voltage gain of the amplifier is

Correct answer
(A) -89.42
Solution
1.DC Analysis: Assuming , the emitter voltage is .
2.The emitter current is .
3.The transconductance is .
4.AC Analysis: The emitter capacitor shorts the emitter to ground. The effective load resistance is .
5.The voltage gain is .
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