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JEE Main 2022 (24 Jun, Shift 2) · Energy Stored & Force between Plates

Energy Stored & Force between Plates question from JEE Main 2022 (24 Jun, Shift 2)

Q22JEE Main 2022 · 24 JUN · SHIFT 2Medium

Energy Stored & Force between Plates

If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C)

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Answer: (a)

$U \propto q^2$ , so $\frac{(q+2)^2}{q^2} = 1.44$ .
$\frac{q+2}{q} = 1.2 \Rightarrow 0.2q = 2$
$q = 10\text{ C}$
So the answer is (a) 10.

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