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Question

Potential difference between centre and the surface of sphere of R and having uniform volume charge density. p with it will be :

A
pR26ϵ0
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B
pR24ϵ0
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C
0
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D
pR22ϵ0
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Solution

The correct option is A pR26ϵ0
Potential at center, Vc=KQ2R2(3R2r2)

(rc)Vc=3KQ2R

Potential at surface , V5KQR

V=KQ2R=K2R×p×43πR3

V=pR26ε0
Hence, the answer is V=pR26ε0.

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