A charged capacitor and an inductor are connected in series. At time t = 0, the current is zero but the capacitor is charged. If T is the period of resulting oscillations, then the time after which current in the circuit becomes maximum, is

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$\frac{T}{4}$

$\frac{T}{2}$

$\frac{3 T}{4}$

answer is B, D.

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Detailed Solution

When charge on the capacitor is zero then current in the circuit becomes maximum.

The LC oscillation can be understood with the help of oscillation of simple pendulum with time period T.

Time	Simple pendulum	LC oscillation
at t = 0	P.E. = Max, K.E. = 0	Charge = max, current =0
at t = T/4	P.E. = 0, K.E. = max	Charge = 0, current = max
at t = 2T/4	P.E. = max, K.E. = 0	Charge = max, current = 0
at t = 3T/4	P.E. = 0, K.E. = max	Charge = 0, current = max

Where potential energy of simple pendulum during its oscillation is analogous to energy stored inside the capacitor and kinetic energy of simple pendulum is analogous to energy stored in inductor.

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