Question

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))*`

Answer 1

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