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GATE 2021 BM – Question 43

Analog and Digital Electronics · Operational Amplifiers · 2 marks · Multiple choice

All op-amps in the shown circuit are ideal with infinite gain and bandwidth. Find Vout/Vin.

Diagram for GATE 2021 BM question 43
  1. 5.00
  2. 5.33
  3. 4.80
  4. 6.00

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Show answer and explanation

Correct answer: (C) 4.80

Explanation

The right-hand divider is loaded by its 2R connection to virtual ground; its midpoint is Vout/2. The right inverter has gain −R/(2R), giving −Vout/4, and the bottom unity inverter produces +Vout/4. At the top inverting input, voltage equals Vin. KCL gives Vin/R+(Vin−Vout)/(4R)+(Vin−Vout/4)/(4R)=0. Thus (3/2)Vin=(5/16)Vout and gain=24/5=4.80, C.

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