Q.

A infinitely lay solid non conducting cylinder has radius ‘r’ and charge density ρ colu m-3. Electric field at distance x from its centre is (x < r)

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a

ρxε0

b

ρx2ε0

c

3ρxt0

d

ρx3ε0

answer is B.

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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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