GATE EC 2019 Set 1 — Question 64
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Analog Circuits → BJT & MOSFET Amplifiers → CS, CD & CG Configurations
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Question
In the circuit shown, the threshold voltages of the pMOS () and nMOS () transistors are both equal to . All the transistors have the same output resistance of . The other parameters are listed below:;
; and are the carrier mobilities, and is the oxide capacitance per unit area. Ignoring the effect of channel length modulation and body bias, the gain of the circuit is ______ (rounded off to 1 decimal place).
; and are the carrier mobilities, and is the oxide capacitance per unit area. Ignoring the effect of channel length modulation and body bias, the gain of the circuit is ______ (rounded off to 1 decimal place).

Correct answer
895 to 905
Solution
The circuit is a common-source amplifier with an active load. The voltage gain is given by:First, we determine the bias current . In the left branch, the diode-connected pMOS and nMOS are in series:Given and the parameters:Bias current .
Transconductance of the driver nMOS:Output resistance:Voltage gain:Rounding to one decimal place, the gain is -900.0.
Transconductance of the driver nMOS:Output resistance:Voltage gain:Rounding to one decimal place, the gain is -900.0.
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