A thin spherical conducting shell of radius fi has a charge q. Another charge Q is place at the centre of the shell. The electrostatic potential at a point P a distance R/2 from the centre of the shell is
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a
(q+Q)4πε02R
b
2Q4πε0R
c
2Q4πε0R−2q4πε0R
d
14πε0⋅1R×(q+2Q)
answer is D.
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Detailed Solution
The electrostatic potential on the surface of spherical shell of fi having a charge g is given byV1=14πε0⋅qRThis potential is same at point P. When charge Q is placed at the can be, then potential at P V2=14πε0⋅Q(R/2)∴ Total potential at PV=V1+V2=14πε0qR+2QR =14πε0×1R×(q+2Q)