In the circuit shown, the capacitor initially charged with a 12V batteryy, when switch `S_(1)` is open and switch `S_(2)` is closed. The maximum value of current in the circuit when `S_(2)` is opened and `S_(2)` is closed is

Options

A. at `t=0`,energy stored in the circuit is purely in the form 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 exchange of energy between the inductor and capacitor
D. at any time `t gt 0` instanteous curren in the circuit will have maximum vlaue `Vsqrt(C/L)` ,where `C` is the capacitance and `L` is the inductance.

Answer

D

Explanation

`q=Q_(0)cos omegat`
`i=-(dq)/(dt)=Q_(0) omega sin omegat`
`rArr i_(max)=Comega V=Vsqrt(C/L)`