CapacitanceHard

Question

A parallel plate condenser with plate separation d is charged with the help of a battery so that U0 energy is stored in the system. A plate of dielectric constant K and thickness d is placed between the plates of condenser while battery remains connected. The new energy of the system will be-

Options

A.KU0
B.K2U0
C.U0/K
D.U0/K2

Solution

U0 = CV2 (given) Now energy = U′ = C′V2
C′ = CK      
U′ = CV2K = UoK

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