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Question

A 4μF capacitor is charged by a 6 volts supply. It is then disconnected from the supply and connected to another uncharged 2μF capacitor. Now the energy stored in both the capacitors is

A
48×106J
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B
32×106J
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C
16×106J
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D
56×106J
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Solution

The correct option is A 48×106J
Net charge is Q=4×6+0=24μC=24×106C

Charge will remain conserved as the battery is disconnected.
So Energy =Q22C
Where C is net capacity.

We know when two capacitor are connected without any battery then they are in parallel and in parallel combination the net resistance is the sum of the two. So C=4+2=6μF=6×106F
So energy E=48×106J

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