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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).

Given taht the total charge stored in the LC circuit is `(Q_0)`. for `Tge0` the charge on the capacitor is

A

a. the charge on the capacitor is `Q=Q_(0) cos""((pi)/(2)+(t)/(sqrt(LC)))`

B

b. the charge on the capacitor is `Q=Q_(0) cos""((pi)/(2)-(t)/(sqrt(LC)))`

C

c. the charge on the capacitor is `Q= -LC(d^(2)Q)/(dt^(2))`

D

d. the charge on the capacitor is `Q= -(1)/(sqrt(LC))(D^(2)Q)/(dt^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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