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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).

When the capacitor gets charged compleely, (=`(S_1)` is opened and `(S_2)` is closed, Then,

A

at `t = 0`, energy stored in the circuit is purely in the from of magnetic energy.

B

at any time `t gt 0` current in the circuit is in the same direction.

C

at `t gt 0`, there is no excharge of energy between the inductor and capacitor.

D

at any time `t gt 0`, maximum instantaneous current in the circuit may be `V sqrt((C )/(L))*`

Text Solution

Verified by Experts

The correct Answer is:
D
From conservation of energy,
`(1)/(2)LI_(max)^(2) = (1)/(2)CV^(2) rArr I_(max) V sqrt((C )/(L))`
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