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Question

If the potential difference between the plates of a charged and isolated parallel-plate condenser of capacitance 1 μF changes from 12 V to 4 V when a dielectric slab of dielectric constant K is introduced to fill the entire space between the plates, then


A

The change in the charge on the capacitor is 8 µC

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B

The change in the capacity is 3 µF

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C

The electric field in the capacitor increases by 100 %

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D

The value of K is 3

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Solution

The correct option is D

The value of K is 3


In isolated condenser the charge is conserved. Introducing the dielectric increases the capacity from C to KC, decreases the potential from V to V/K. The electric field decreases from E to E/K


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