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Question: Answered & Verified by Expert
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

PhysicsElectromagnetic InductionMHT CETMHT CET 2022 (11 Aug Shift 1)
Options:
  • A The current in the circuit is in the same direction.
  • B The instantaneous current in the circuit may be $V \sqrt{\frac{C}{L}}$.
  • C The energy stored in the circuit is purely in the form of magnetic energy.
  • D There is no exchange of energy between inductor $L$ and capacitor $C$.
Solution:
1933 Upvotes Verified Answer
The correct answer is: The instantaneous current in the circuit may be $V \sqrt{\frac{C}{L}}$.
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.

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