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In the given circuit the capacitor (C) m...

In the given circuit the capacitor (C) may be charged through resistance R by a battery V by closing switch `(S_1)`. Also when `(S_1)` is opend and `(S_2)` is closed the capacitor is connected in series with inductor (L).

At the start, the capicitor was uncharged. when switch `(S_1)` is closed and `(S_2)` is kept open, the time constant of this circuit is `tau`. which of the following is correct

A

after time interval `tau`, charge on the capacitor is CV/2

B

after time interval `2tau`, charge on the capacitor is `CV(1–e^(2))`

C

the work done by the voltage source will be half of the heat dissipated when the capacitor is fully charged.

D

after time interval 2`tau`, charge on the capacitor is `CV(1-e^(-1))`

Text Solution

Verified by Experts

The correct Answer is:
B
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