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Question

Assuming reference point (for calculating electric potential) to be at infinity, mark the correct statement(s)

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 D If we change the reference point, the potential difference between 2 points will not change.
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=Qenclosedϵo​​

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.

When we change the reference point, the potential related to each point changes while the potential difference between 2 points remains same.

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