GATE EC 2014 Set 1 — Question 48
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Analog Circuits → Op-Amp Circuits → Op-Amp Non-Idealities
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Question
In the circuit shown, the op-amp has finite input impedance, infinite voltage gain and zero input offset voltage. The output voltage is
Correct answer
(C) I₁ R₂
Solution
Given that the op-amp has infinite voltage gain, the virtual short principle applies: .
From the circuit diagram, the non-inverting terminal () is connected directly to ground, so . Therefore, .
Finite input impedance means that the input bias currents and are non-zero. The diagram shows entering the inverting terminal node and leaving towards the op-amp.
Applying KCL at the inverting terminal node () where :Substituting :Thus, the correct option is (C).
From the circuit diagram, the non-inverting terminal () is connected directly to ground, so . Therefore, .
Finite input impedance means that the input bias currents and are non-zero. The diagram shows entering the inverting terminal node and leaving towards the op-amp.
Applying KCL at the inverting terminal node () where :Substituting :Thus, the correct option is (C).
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