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Question

# A thin spherical conduction shell of radius R has a charge q. another charge Q is placed atthe centre of the shell. The electrostatic potential at a point P at a distance R/2 from thecentre of the shell is

A
2Q4πε0R
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B
2Q4πϵ0R2q4πε0R
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C
2Q4πϵ0R+q4πε0R
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D
(q+Q)4πε02R
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Solution

## The correct option is B 2Q4πϵ0R+q4πε0RHere the point is inside the shell. so, the potential at P = potential due to charge Q+ potential at surface of shellor VP=Q4πϵ0(R/2)+q4πϵ0R

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