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

Question

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

Infinity Learn · Accepted Answer

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

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