GATE EC 2021 Set 1 — Question 55
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Analog Circuits → Op-Amp Circuits → Ideal & Non-Ideal Op-Amp
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Question
A circuit with an ideal OPAMP is shown in the figure. A pulse of duration is applied to the input. The capacitors are initially uncharged.
The non-inverting input of the OPAMP is grounded, a resistor connects the output to the inverting input, and the OPAMP is powered from supplies.The output voltage of this circuit at (in integer) is ________ V.

Correct answer
-12
Solution
The two 1 F capacitors are in parallel ( F) between and the inverting input. The 10 k resistor is the feedback element and the non-inverting input is grounded, so the circuit is an inverting differentiator:At the input jumps from 0 to 5 V. Ideally , which would demand an infinitely large negative output (an impulse). A real output cannot go beyond the supply rails, so the OPAMP saturates at its negative rail.At :(The output then recovers toward 0 V as the capacitors charge through the feedback resistor.)Answer:
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