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Question:

A charged spherical conductor of radius a and charge q, is surrounded by another charged concentric sphere of radius b (b>a). The potential difference between conductors is V. When the spherical conductor of radius b is discharged completely, then the potential difference between conductors will be:

V

None of the above

q/(4πϵ₀a) - q/(4πϵ₀b)

Vab

Solution:

Since in the inner sphere no change in charge is seen so there will not be any change in the electric field between the inner and outer sphere; therefore, no change of voltage is seen between them. Hence, the voltage between them is V.