An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to `Q_0` and then connected to the L and R as shown below:

If a student plots graphs of the square of maximum charge `(Q_"Max"^2)` on the capacitor with time (t) for two different values `L_1` and `L_2 (L_1 gt L_2)` of L then which of the following represents this graph correctly ? (plots are schematic and not drawn to scale)

Options

A.
B.
C.
D.

Answer

A

Explanation

Ampliltude of damped pendulum at time t instead of `A= A_0 e^(-(bt)/(2m))` here it is `A=A_0e^(-(R/(2L))^t` because inductance L plays role as like mass m.