Five equal capacitors connected in series have a resultant capacitance 4µF . What is the ratio of energy stored when the capacitors are connected in series and then parallel and connected to the same source of emf in both the cases is

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1 : 25

1 : 5

25 : 1

5 : 1

answer is C.

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Detailed Solution

$\begin{array}{l} C_{s} = \frac{C}{5} = 4 μF \Rightarrow C = 20 μF \\ \frac{U_{S}}{U_{P}} = \frac{\frac{1}{2} C_{S} V^{2}}{\frac{1}{2} C_{P} V^{2}} = \frac{C_{S}}{C_{P}} = \frac{C / 5}{5 C}; \frac{U_{s}}{U_{p}} = \frac{1}{25} \end{array}$

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