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A charge q is distributed uniformly on t...

A charge q is distributed uniformly on the surface of a sold sphere of radius R. It covered by a concentric hollow conduction sphere of radius `2R`. Find the charges inner and outer surface of hollow sphere if it is earthed.

Text Solution

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The charge on the inner surface of the how sphere should be `-q`, because if we draw a closed Gaussian surface through the metarial of the hollow sphere the total charge enclosed by this Gaussian surface soud be zero. Let `q'` be the charge on the outer surface of the hollow sphere.
`V=1/(4piepsilon_0)[q/(2R)-q/(2R)+q'/(2R)]=0`
`:. q'=0`
Therefore, there will be no charge on the outer surface of the hollow sphere.
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