GATE 2016 EE (EE2) – Question 37

Analog and Digital Electronics · Operational amplifiers: characteristics and applications · 2 marks · Multiple choice

For the ideal op-amp circuit, Vout in terms of V1,V2,V3 is

Show answer and explanation

Correct answer: (D) $8V_1+2V_2-9V_3$

Explanation

No current enters the noninverting input, so its voltage is the conductance-weighted average $V_+=(V_1/1+V_2/4)/(1+1/4)=0.8V_1+0.2V_2$.

Negative feedback sets V−=V+. KCL there gives $(V_--V_3)/1+(V_--Vout)/9=0$, so Vout=10V−−9V3.

Substitution gives **8V1+2V2−9V3, D**.

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