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Question

A capacitor of capacitance C is charged fully using a battery of e.m.f, E . It is then
disconnected form the battery . If the separation between the plates of the capacitor is
now doubled. What will happen to : Charge stored by the capacitor,P.D across it, field
strength between the plates and energy stored between the plates of the capacitor.. Answer the question again, if the battery is kept connected

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Solution

First always remember 1.when battery is remove after charging capacitor ,the charge remain constant while doing operation of capacitor (eg. Inserting dielectric)

2. When battery remain connected and then we do operation then potential on capacitor is constant.

A) when plates move the charge remain constant that is equal to =cv

B)as plate distance double the capacitance decreases therefore potential increase asQ=cv Q constant as c decreases v increase.

C)electeic feild remaon constant asE(initial)= v/d =q/(cd) (c=èa/d) therfore E =q/èaE(final)=Vnew/2d =q/(Cnew×2d) (Cnew=èa/2d) therfore E (final)=q/èa

D) energy =1/2q^2/c as c decreases energy increases

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