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Q.

A solid non conducting sphere has charge density ρCm-3. Electric field at distance x from its centre is ______ [x < R]

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a

ρx2ε0

b

ρx0

c

None

d

ρx3ε0

answer is A.

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Detailed Solution

On assuming a Gaussian surface of radius 'x' inside the sphere,

qenclosed=ρ43πx3

using Gauss law, E.4πx2=ρ4π3x2εoE=ρx3εo

A solid non conducting sphere has charge density ρCm-3. Electric field at distance x from its centre is  ρx3ε0

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