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JEE Main 2022 (29 Jul, Shift 2) · LC Oscillations

LC Oscillations question from JEE Main 2022 (29 Jul, Shift 2)

Q15JEE Main 2022 · 29 JUL · SHIFT 2Medium

LC Oscillations

A capacitor of capacitance 500 $\mu$ F is charged completely using a dc supply of 100 V. It is now connected to an inductor of inductance 50 mH to form an LC circuit. The maximum current in LC circuit will be _______ A.

Numerical answer type. Work it out, then open the answer.

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Answer: 10

$I_{max} = V\sqrt{\frac{C}{L}}$
$I_{max} = 100\sqrt{\frac{500\times10^{-6}}{50\times10^{-3}}} = 100\sqrt{10^{-2}} = 100 \times 0.1$
So $I_{max} = 10\text{ A}$ .

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