GATE EC 2014 Set 3 — Question 48
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Analog Circuits → Op-Amp Circuits → Summing & Difference
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Question
Assuming that the Op-amp in the circuit shown is ideal, is given by
Correct answer
(D) -3V₁ + (11)/(2) V₂
Solution
Using the principle of virtual short for an ideal Op-amp, .
From the circuit diagram:
Substitute :
Multiply the entire equation by to clear denominators:
.
From the circuit diagram:
1.The non-inverting terminal is connected directly to , so .
2.Therefore, .
3.Apply KCL at the inverting terminal node ():
Substitute :
Multiply the entire equation by to clear denominators:
.
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