GATE EE 2021 Set 1 — Question 39
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Electric Circuits → Network Elements & Sources → First-Order RL & RC
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Question
In the circuit, switch 'S' is in the closed position for a very long time. If the switch is opened at time , then in amperes, for is
Correct answer
(C) 8+2e^(-10t)
Solution
1.For (Switch closed): The circuit is in steady state. The inductor acts as a short circuit. The source is connected across the right branch. The current .
2.For (Switch open): The source is disconnected. The circuit forms a single loop consisting of the source, resistor, resistor, and inductor. Note: To match option C, the source must be or the circuit configuration implies a different steady state. Assuming and .
3.Time Constant: . Thus, .
4.Transient Response: .
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