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Q.

A capacitor of capacity C1  is charged to the potential of V0 . On disconnecting from the battery, it is connected with a capacitor of capacity C2 as shown in the adjoining figure. The ratio of energies of system of capacitors before and after the connection of switch  ‘S’ will be

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a

C1+C2/C1

b

C1/C1+C2

c

C1C2

d

C1/C2

answer is A.

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Detailed Solution

Given Capacity of capacitor  =C1,C2Potential  V1=V0We know that Common potential  V=C1V1+C2V2C1+C2Common potential,  V=C1V0+0C1+C2=C1V0C1+C2We know potential energy stored in capacitor, U=12CV2Now  UiUf=12C1V0212C1+C2V2=C1+C2C1Therefore, the correct answer is (A)
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A capacitor of capacity C1  is charged to the potential of V0 . On disconnecting from the battery, it is connected with a capacitor of capacity C2 as shown in the adjoining figure. The ratio of energies of system of capacitors before and after the connection of switch  ‘S’ will be