GATE EC 2023 Set 1 — Question 35
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
In the circuit shown below, switch S was closed for a long time. If the switch is opened at , the maximum magnitude of the voltage , in volts, is _________ (rounded off to the nearest integer).
Correct answer
4 to 4
Solution
For , the switch is closed and the circuit is in steady state. The inductor acts as a short circuit, so the voltage across the parallel combination of the inductor and the resistor is . The current from the source is , all of which flows through the inductor (). At , the switch opens, disconnecting the source. The inductor current cannot change instantaneously, so . This current now flows through the resistor. The voltage across it is . The magnitude is .
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