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GATE 2026 EC – Question 30

Networks, Signals and Systems · Circuit Analysis · 1 mark · Numerical answer

The output voltage $V_o$ (in Volt) for the network given in the Figure is ________. (rounded off to two decimal places)

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Correct answer: 0.99 to 1.01

Explanation

Let the midpoint voltages be $V_1$ and $V_2$ with $V_2-V_1=\pm6$. Summing KCL at both midpoints gives $2V_T=2(V_1+V_2)$, so $V_T=V_1+V_2$. The source current is $(2V_T-V_1-V_2)/1\text{k}=V_T/1\text{k}=1$ mA. So $V_o=1.00$ V, independent of the battery polarity.