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Question

A parallel plate capacitor with air between the plates is charged to a potential difference of and then insulated. A plastic plate is inserted between the plates filling the whole gap. The potential difference between the plates now becomes . The dielectric constant of plastic is :

A

B

C

D

Medium

Solution

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Correct option is
C

If be the air filled capacitance , dielectric filled capacitance becomes where K is the dielectric constant.
Initial charge , and final charge
As the system is isolated so charge will be constant.
Thus,

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