Question

A dielectric is inserted into a capacitor while the charge on it is kept constant. What happens to the potential difference and the stored energy? 

A

The potential difference decreases and the stored energy increases

B

Both the potential difference and the stored energy increase

C

The potential difference increases and the stored energy decreases

D

Both the potential difference and the stored energy decrease

E

Both the potential difference and the stored energy remain the same

Medium

Solution

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Correct option is D)

When a dielectric is placed in an electric field then an internal electric field is produced in it due to polarisation of dielectric . This internal electric field inside the dielectric  is in opposite direction of the field between plates of capacitor , as a result of this effective electric field between plates decreases , hence the potential difference between plates because ,
                                        ,
where is the distance between plates , which is constant .
Now potential energy of a capacitor is given by ,
                                        ,
charge is given constant , therefore due to decrease in potential difference , potential energy also decreases .

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