GATE EC 2021 Set 1 — Question 38
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
The switch in the circuit in the figure is in position P for a long time and then moved to position Q at time t = 0.
Terminal Q, the negative terminal of the 20 V source, the 20 k resistor, the capacitor and the inductor all return to a common bottom (ground) rail.The value of at is
Correct answer
(C) –3 V/s
Solution
For (switch at P, DC steady state): the capacitor is open and the inductor is a short. The 20 k resistor sits directly across the source, so it does not affect the right-hand branch. Current flows 20 V 5 k 5 k (10 k + inductor) ground:At (switch at Q, which is grounded): and . The capacitor node now discharges through the 5 k resistor to ground and also supplies the inductor branch:Answer: (C) V/s
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