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MHT CET 2023 (13 May, Shift 1) · LC Oscillations

LC Oscillations question from MHT CET 2023 (13 May, Shift 1)

Q14MHT CET 2023 · 13 MAY · SHIFT 1Easy

LC Oscillations

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 becomes

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Answer: (c)

Total energy $U = \frac{Q^2}{2C}$ . Equal sharing means $U_E = \frac{U}{2}$ .
$\frac{q^2}{2C} = \frac{1}{2}\cdot\frac{Q^2}{2C} \Rightarrow q^2 = \frac{Q^2}{2}$
So the answer is (c) $\frac{Q}{\sqrt{2}}$ .

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