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Question

A dipole having dipole moment P is placed in front of a solid neutral conducting sphere as shown in figure. The net potential at a point A on the surface of its sphere is:-
1088759_765d2c90a08a47fd9f4a925946cb8a4d.JPG

A
kPcosr2
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B
kPcos2r2
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C
2kPcos2r2
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D
kPr2
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Solution

The correct option is B kPcos2r2
Now, if we want to find the potential at A, then one way is to resolve the dipole, and hence we can say that potential is
VA=kPcosϕr2
however, if we notice that VA=Vo
Since Vinduced=0, we can say that
Vo=kPcos2ϕr2
VA=Vo=kPcos2ϕr2
Hence,
option (B) is correct answer.

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