GATE EC 2026 Set 1 — Question 17
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Analog Circuits → Op-Amp Circuits → Inverting & Non-Inverting
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Question
The ideal OP-AMP circuit shown in the Figure produces output voltage when the Switch, S, is open. Which of the options represents the output voltage when S is closed?

Correct answer
(C) (3)/(4)x
Solution
1.Case 1: Switch S is open.
The circuit is a non-inverting amplifier. The feedback resistance is the sum of the and resistors in series: . The resistance from the inverting terminal to ground is .The gain is given by:
Given , the output voltage is:
Thus, .
2.Case 2: Switch S is closed.
When S is closed, the feedback resistor is short-circuited. The feedback resistance becomes .The new gain is:
The new output voltage is:
3.Relationship between and :
We have and .Therefore, .Hence, the correct option is (C).
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