GATE EC 2014 Set 2 — Question 17
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
In the figure shown, the ideal switch has been open for a long time. If it is closed at , then the magnitude of the current (in mA) through the resistor at is _______.
Correct answer
1.2 to 1.3
Solution
1.For , the switch is open. In steady state, the capacitor acts as an open circuit and the inductor acts as a short circuit.
2.The current in the circuit is .
3.The voltage across the capacitor is .
4.At , the switch is closed, shorting the node after the resistor to ground.
5.The capacitor voltage cannot change instantaneously, so .
6.The current through the resistor at is .
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