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Question

Mark the incorrect statement(s), (Assume reference point to be at infinity)

A
Electric potential at the centre of a uniformly charged spherical shell due to its own charge is zero.
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B
Electric potential at the centre of a uniformly charged sphere due to its own charge is zero.
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C
Self energy of a dipole is positive.
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D
If we change the reference point, the potential difference between 2 points will not change.
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Solution

The correct option is C Self energy of a dipole is positive.
In case of spherical shell, we select a gaussian surface concentric with the shell of radius r(r>R).
So, E.ds=E(4πr2)cos0

According to Gauss law,
E(4πr2)cos0=Qenclϵo​​

Since charge enclosed inside the spherical shell is zero.
So, E=0, but V is not zero.

For a shell,
Vcenter=Vsurface=kQR
For a sphere,
Vcenter=3kQ2R

Self energy of a dipole is negative since self energy is the total binding energy.

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