Question

# A sphere of radius r has electric charge uniformly distributed in its entire volume. At a distance d from the centre inside the sphere (d < r) the electric field intensity is directly proportional to

A
1d
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B
1d2
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C
d
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D
d2
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Solution

## The correct option is C dRadius of the sphere =r.Volume of the sphere =43πr3.Volume charge density ρ=Total chargeVolumeρ=Q43πr3Now consider the sphere of radius d.Charge encloses by sphere with radius d.q=ρ . 43πd3 =Qd3r3Electric field intensity E=K.qd2=KQdr3As total charge and radius r is constant.E α d

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