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  4. Two condensers of capacity 0.3 μ F and 0.6 μ F, respectively, are connected in series. The combination is connected across a potential of 6 volts. The ratio of energies stored by the condensers will be

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Q. Two condensers of capacity $0.3\, \mu F$ and $0.6\, \mu F$, respectively, are connected in series. The combination is connected across a potential of 6 volts. The ratio of energies stored by the condensers will be

Electrostatic Potential and Capacitance

Solution:

In series combination $Q$ is constant, hence according to
$U=\frac{Q^{2}}{2 C}$
$\Rightarrow U \propto \frac{1}{C}$
$\Rightarrow \frac{U_{1}}{U_{2}}=\frac{C_{2}}{C_{1}}=\frac{0.6}{0.3}=\frac{2}{1}$