If the charge on the capacitor is increased by $2 \mathrm{C}$. The energy stored in it increase by $21 \%$.…

If the charge on the capacitor is increased by $2 \mathrm{C}$. The energy stored in it increase by $21 \%$. Total original charge on the capacitor is
  1. 10 C
  2. 5 C
  3. 20 C
  4. 15 C

Solution

$\begin{aligned} & U=\frac{q^2}{2 \mathrm{C}} \\ & 1.21 U=\frac{(q+2)^2}{2 \mathrm{C}} \end{aligned}$ By solving them, $q=20 \mathrm{C}$

Asked in: MHT CET 2021 (22 Sep Shift 1)

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