Three condensers of same capacity connected in series has effective capacity 2mF. If they are connected in parallel and charged using a battery of emf 12V, the total energy stored in the combination is

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1296 mJ

648 mJ

48 mJ

162 mJ

answer is A.

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Detailed Solution

$\begin{array}{l} C_{S} = \frac{C}{3} = 2 \Rightarrow C = 6 mF \\ C_{P} = 3 C = 3 \times 6 = 18 mF \\ U = \frac{1}{2} C_{P} V^{2} = \frac{1}{2} 18 \times 10^{- 3} \times 12 \times 12; U = 1296 mJ \end{array}$

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