Potential Energy of a Dipole in Uniform Electric Field
Inside a cond...
Question
Inside a conducting spherical shell of inner radius 3R and outer radius 5R , a point charge Q is placed at a distance R from the centre of the shell. The electric potential at the centre of the shell will be.
A
14πϵ05Q6R
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B
14πϵ013Q15R
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C
14πϵ0QR
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D
14πϵ07Q9R
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Solution
The correct option is B14πϵ013Q15R From conservation of charge, the charge distribution on each surface is as shown in the figure.
Here in the figure , 1 represents the point charge, 2 represents inner surface of shell and 3 represents the surface of outer shell.
Electric potential at centre due to point charge, V1=14πϵ0QR
Electric potential at centre due to inner surface of shell, V2=14πϵ0(−Q)3R
And, electric potential at centre due to outer surface of shell, V2=14πϵ0(Q)5R