QJEEM22Ph51f5: JEE Main 2022 Physics - Class 12 JEEM22Ph51f5 Solution: If the charge on a capacitor is increased by 2 C, the energy…

Question

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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)

Accepted Answer

Let initially the charge is q so

${1 \over 2}{{{q^2}} \over C} = {U_i}$

And ${1 \over 2}{{{{(q + 2)}^2}} \over C} = {U_f}$

Given ${{{U_f} - {U_i}} \over {{U_i}}} \times 100 = 44$

${{{{(q + 2)}^2} - {q^2}} \over q} = .44$

$\Rightarrow q = 10C$

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