If the potential difference across a capacitor is increased from 5 V to 15 V, then the ratio of final energy to initial energy stored in the capacitor is (a) 1: 3 (b) 27: 1 (c) 3: 1 (d) 9: 1

Answer: (d). U = 1/2CV² ∝ V² (Uf)/(Ui) = (15/5)² = 9 So the answer is (d) 9: 1.

If the potential difference across a capacitor is increased from 5 V… | MHT CET 2021 (23 Sep, Shift 2)

Q23MHT CET 2021 · 23 SEP · SHIFT 2Easy

Energy Stored & Force between Plates

If the potential difference across a capacitor is increased from $5\text{ V}$ to $15\text{ V}$ , then the ratio of final energy to initial energy stored in the capacitor is

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Answer: (d)

$U = \frac{1}{2}CV^2 \propto V^2$
$\frac{U_f}{U_i} = \left(\frac{15}{5}\right)^2 = 9$
So the answer is (d) $9 : 1$ .

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