GATE EC 2016 Set 2 — Question 17
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Network Theory → Transient & AC Analysis → RL, RC & RLC Transients
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Question
The switch has been in position 1 for a long time and abruptly changes to position 2 at .
If time is in seconds, the capacitor voltage (in volts) for is given by
Correct answer
(D) 10 - 6 exp(-t/0.6)
Solution
1.For , the switch is at position 1. The capacitor acts as an open circuit in steady state. The voltage across it is .
2.For , the switch is at position 2. The circuit consists of a 5A current source in parallel with a resistor, which is in series with a resistor and a capacitor.
3.Convert the current source and parallel resistor to a Thevenin equivalent: and .
4.The total resistance in the circuit for is .
5.The time constant is .
6.The steady-state voltage as is .
7.Using the transient response formula: .
Thus, the correct option is (D).Continue learning with Success Tracker
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