GATE EC 2024 Set 1 — Question 32
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
In the circuit given below, the switch was kept open for a sufficiently long time and is closed at time . The time constant (in seconds) of the circuit for is __________.
Correct answer
0.75 to 0.75
Solution
To find the time constant for , we need to find the Thevenin equivalent resistance seen by the inductor. For , the switch is closed. The 5 A current source is still active. To find for the inductor, we turn off independent sources. The 5 A current source becomes an open circuit. The circuit then consists of the 2 , 4 , and 4 resistors. The 2 resistor is in series with the parallel combination of the two 4 resistors. So, . The time constant is . Given H, seconds.
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