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Question

A sphere of radius R has a uniform volume charge density ρ. The magnitude of electric field at a distance r from the centre of the sphere, where r>R, is?

A
ρ4πε0r2
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B
ρR2ε0r2
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C
ρR3ε0r2
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D
ρR33ε0r2
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E
ρR24ε0r2
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Solution

The correct option is D ρR33ε0r2
ρ- Density of charge
E(r>R)
=ρ×V4π0r2
=ρ×VR3(43πR3)3ε0r2
=ρR33ε0r2.

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