In the given circuit, when $S_1$ is closed, the capacitor $C$ gets full charged. Then $S_1$ is kept open and…

In the given circuit, when $S_1$ is closed, the capacitor $C$ gets full charged. Then $S_1$ is kept open and $S_2$ is closed. Hence
  1. The current in the circuit is in the same direction.
  2. The instantaneous current in the circuit may be $V \sqrt{\frac{C}{L}}$.
  3. The energy stored in the circuit is purely in the form of magnetic energy.
  4. There is no exchange of energy between inductor $L$ and capacitor $C$.

Solution

When $S_1$ is closed, potential difference across capacitor is $V$. Direction of current gets reversed when $S_2$ is closed. When $S_1$ is opened and $S_2$ is closed, $\begin{aligned} & \frac{1}{2} C V^2=\frac{1}{2} L I^2 \\ & \Rightarrow I=V \sqrt{\frac{C}{L}} \end{aligned}$ Total energy oscillates between capacitor and inductor.

Asked in: MHT CET 2022 (11 Aug Shift 1)

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