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In the circuit shown below, the switch is closed at t = 0. The current through the capacitor will decrease exponentially with a time constant—
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- 0.5 s
- 1 s
- 2 s
- 10 s
Correct Option: B
When switch is closed the given circuit can be redrawn as
The time constant of the circuit, τ = Req. C
Where Req = Effective resistance as seen from the terminal where capacitor is connected keeping all the independent energy sources are replaced by their internal resistance.
Now, the above circuit can be redrawn as shown below.
Thus, Req = 1Ω C = IF
τ = Req. C = | × | = 1 sec.
