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MHT CET 2024 (11 May, Shift 2) · LC Oscillations

LC Oscillations question from MHT CET 2024 (11 May, Shift 2)

Q8MHT CET 2024 · 11 MAY · SHIFT 2Easy

LC Oscillations

A $1\,\mu\text{F}$ capacitor is charged to 50 V and is then discharged through 10 mH inductor of negligible resistance. The maximum current in the inductor is

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Answer: (a)

Energy conservation: $\frac{1}{2}CV^2 = \frac{1}{2}LI_0^2 \Rightarrow I_0 = V\sqrt{\frac{C}{L}}$
$I_0 = 50\sqrt{\frac{10^{-6}}{10^{-2}}} = 50 \times 10^{-2}$
So the answer is (a) $0.5\text{ A}$ .

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