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Q.

A capacitor is charged to store an energy U. The charging battery is disconnected. An identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitor is

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a

U/4

b

U/2

c

U

d

3U/2

answer is A.

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Detailed Solution

Initial energy E1 is given byE1=12CV2=UThe total final energy E2 is given byE2=12(C+C)CVC+C2=14CV2or   E2=U2This energy is shared by both capacitors. Therefore, the energy of each capacitor is U/4.
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