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MHT CET 2024 (2 May, Shift 1) · Capacitors in DC Circuits & RC

Capacitors in DC Circuits & RC question from MHT CET 2024 (2 May, Shift 1)

Q16MHT CET 2024 · 2 MAY · SHIFT 1Medium

Capacitors in DC Circuits & RC

A circuit having a self inductance of 1 henry carries a current of 1 A. To prevent the sparking when the circuit is broken, a capacitor which can withstand 500 V is connected across the switch. What is the minimum value of the capacitance of the capacitor?

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Answer: (b)

The inductor's energy is transferred to the capacitor: $\dfrac{1}{2}LI^2 = \dfrac{1}{2}CV^2$ .
$C = \dfrac{LI^2}{V^2} = \dfrac{1\times1^2}{500^2} = 4\times10^{-6}\text{ F}$
So the answer is (b) $4\ \mu\text{F}$ .

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