GATE EE 2016 Set 2 — Question 37
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Analog & Digital Electronics → Operational Amplifiers → Summing & Difference
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Question
For the circuit shown below, taking the opamp as ideal, the output voltage in terms of the input voltages and is
Correct answer
(D) 8V₁ + 2V₂ - 9V₃
Solution
Step 1 - node at the non-inverting input. reaches the terminal through and through . An ideal op-amp draws no input current, so KCL at that node givesStep 2 - virtual short.With negative feedback and an ideal op-amp, .Step 3 - node at the inverting input. is applied through and the resistor feeds back from the output:Step 4 - combine.Options (A) and (C) carry a coefficient of only on , which contradicts the gain of seen by the inverting node, and (B) interchanges the weights of and obtained from the / divider.Answer: (D)
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