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Question

# Select the correct alternative : A non-conducting solid sphere of R is uniformly charged. The magitude of the electric field due to the sphere at a distance r from its centre:

A
increases as r increases, for r<R
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B
decreases as r increases, for 0<r<
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C
decreases as r increases, for R<r<
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D
is discontinuous at r=R
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Solution

## The correct options are A increases as r increases, for r<R C decreases as r increases, for R<r<∞ Using Gauss's law , field inside the sphere , Ein.4πr2=ρ.43πr3ϵ0⇒Ein=ρr3ϵ0 outside the sphere, Eout.4πr2=ρ.43πR3ϵ0⇒Eout=ρR33ϵ0r2 Ans:(A),(C)

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