GATE 2022 IN – Question 62
The circuit has $C_0=10$ μF, $L_0=1$ mH, and an ideal diode. Initially the capacitor is charged to 10 V and inductor current is zero. The switch closes at $t=0$. The indicated $V_c(t)$ at $t=0.5$ s is ______ V (one decimal place).
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Correct answer: -10.1 to -9.9
Explanation
While the diode conducts, vC=10cos(ω0t), with ω0=1/√LC=10000 rad/s. At t=π/ω0 the inductor current returns to zero and capacitor reaches −10 V. Reverse current is blocked thereafter, holding **−10.0 V** at 0.5 s.