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

If a student plaots 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)gtL_(2))` of L then which of the following represents this graph correclty? (plots are schematic and not drawn to scale).

Options

A.
B.
C.
D.

Answer

A

Explanation

For a demped pendulum, `A = A_(0e^(-bt//2m))`
`rArr A = A_(0)e^(-((R )/(2L))t)`
(Since `L` plays `s` the same role as `m`)