A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3… | NEET 2005 (AIPMT)

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Combination of Capacitors

A network of four capacitors of capacity equal to C1 = C, C2 = 2C, C3 = 3C and C4 = 4C are connected to a battery as shown in the figure. The ratio of the charges on C2 and C4 is

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Answer: (b)

$C_4$ is directly across the battery: $Q_4 = 4CV$ .
$C_1$ , $C_2$ , $C_3$ are in series across $V$ : $\frac{1}{C_s} = \frac{1}{C} + \frac{1}{2C} + \frac{1}{3C} = \frac{11}{6C}$ , so $C_s = \frac{6C}{11}$ .
Series charge $Q_2 = \frac{6CV}{11}$ .
$\frac{Q_2}{Q_4} = \frac{6/11}{4} = \frac{3}{22}$
So the answer is (b) 3/22.

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Combination of Capacitors question from NEET 2005 (AIPMT)

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