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A parallel plate capacitor having capaci...

A parallel plate capacitor having capacitance 12pF is charged bya battery to a potential difference of 10V between its plates. The charging battery is now disonnected and a porcelain slab of dielectric constant 6.5 is slipped between the plates. The work done by the capacitor on the slab is

A

692 pJ

B

600 pJ

C

508 pJ

D

560 pJ

Text Solution

Verified by Experts

The correct Answer is:
C
`W=-(U_(f)-U_(i))=-((epsilonC)^(2)/(2KC)-((epsilonC)^(2))/(2C))=(epsilon^(2)C)/(2)((K-1)/(K))`
`=(10^(2)xx12xx10^(-12))/(2)((5.5)/(6.5))=508pJ`.
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