Q.

A parallel plate capacitor is connected to a battery. The plates are pulled apart with uniform speed. If x is the separation between the plates, then the rate of change of electrostatic energy of the capacitor is proportional to

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a

x2

b

x

c

1x

d

1x2

answer is D.

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Detailed Solution

The capacitance of capacitor C is ε0A/x.Charge on capacitor q=CV=ε0AVx;  U=12qV=12ε0AV2xSo dUdt=12ε0AV2-1x2dxdt=12ε0AV2v-1x2From the earlier expressions,dUdt∝1x2
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A parallel plate capacitor is connected to a battery. The plates are pulled apart with uniform speed. If x is the separation between the plates, then the rate of change of electrostatic energy of the capacitor is proportional to