GATE 2023 IN – Question 59
The opamps shown are ideal. Inputs are $V_{S1}=3+0.10\sin(300t)$ V and $V_{S2}=-2+0.11\sin(300t)$ V. The mean output $V_0$ is ______ V (two decimal places).
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Correct answer: 0.49 to 0.51
Explanation
Virtual shorts fix the interior nodes at $V_{S1},V_{S2}$. Equal resistors give upper output $2V_{S1}-V_{S2}$ and lower output $2V_{S2}-V_{S1}$. Their equal-resistor midpoint is $V_0=(V_{S1}+V_{S2})/2$. Sinusoids average to zero, so the mean is $(3-2)/2=\boxed{0.50}$ V.