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MHT CET 2024 (2 May, Shift 2) · Energy Stored & Force between Plates

Energy Stored & Force between Plates question from MHT CET 2024 (2 May, Shift 2)

Q13MHT CET 2024 · 2 MAY · SHIFT 2Medium

Energy Stored & Force between Plates

The amount of work done in increasing the voltage across the plates of a capacitor form 5 V to 10 V is ' W '. The work done in increasing it from 10 V to 15 V will be (nearly)

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Answer: (d)

$W = \frac{1}{2}C(V_2^2 - V_1^2)$
5 V to 10 V: $W \propto 100 - 25 = 75$ ; 10 V to 15 V: $W' \propto 225 - 100 = 125$
$\frac{W'}{W} = \frac{125}{75} = \frac{5}{3} \approx 1.67$
So the answer is (d) 1.67 W.

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