In the given circuit,when $S_1$ is closed,the capacitor $C$ gets fully charged. Then $S_1$ is kept open and $S_2$ is closed. Hence

  • 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 $C$.

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$A$ fully charged capacitor $C$ with initial charge $q_0$ is connected to a coil of self-inductance $L$ at $t = 0$. The time at which the energy is stored equally between the electric and the magnetic fields is:

For which two reasons is the discussion of $LC$ oscillations not realistic?

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In an oscillating $LC$ circuit, the maximum charge on the capacitor is $Q$. When the energy is stored equally between the electric and magnetic fields, the charge on the capacitor $(q)$ is:

If maximum energy is stored in the capacitor at $t = 0$,find the time after which the current in the circuit will be maximum. Given $L = 25 \, mH$ and $C = 10 \, \mu F$.

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