Three identical capacitors, P, Q and S, each of the capacitance C… | NEET 2026 (Re-neet)

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Combination of Capacitors

Three identical capacitors, $P, Q$ and $S$ , each of the capacitance $C$ , are connected to a battery of voltage $V$ , as shown in the figure. If the energy stored in the capacitor $P$ and total energy stored in the system are $U_P$ and $U_T$ , respectively, then the ratio $\frac{U_P}{U_T}$ is:

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Answer: (a)

$S$ is directly across $V$ : $U_S = \frac{1}{2}CV^2$ .
$P$ and $Q$ are identical and in series, so each has $\frac{V}{2}$ : $U_P = U_Q = \frac{1}{2}C\left(\frac{V}{2}\right)^2 = \frac{CV^2}{8}$ .
$U_T = \frac{CV^2}{2} + \frac{CV^2}{8} + \frac{CV^2}{8} = \frac{3}{4}CV^2$ .
$\frac{U_P}{U_T} = \frac{1/8}{3/4} = \frac{1}{6}$ . So the answer is (a).

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