Q.

A parallel plate capacitor filled with a material of dielectric constant K is charged to a certain voltage. The battery is disconnected. The dielectric material is removed. Then
a) The capacitance decreased by a factor K.
b) The electric field reduces by a factor K.
c) The voltage across the capacitor increases by a factor K.
d) The charge stored in the capacitor increased by a factor K.

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a

(b) and (d) are true

b

(a) and (c) are true

c

(a) and (b) are true

d

(b) and (c) are true

answer is B.

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Detailed Solution

As capacitance of capacitor after introducing dielectric is given by

C=Kε0Ad

Here, if dielectric is introduced the capacitance increases by K, but when dielectric is removed, then

capacitance will decrease by factor K and since V=QC as charge remains constant.

Hence, if C decreases in factor K, then V will increase by factor K.

Electric field will increase by a factor K as potential is increased and distance between plates remains same.

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