Question

Define capacitance of a conductor. Obtain an expression for capacity of an isolated spherical conductor.

Answer 1

Answer:

Capacitance of an isolated spherical conductor - definition

The potential of a charged conducting sphere is given by V=4πϵ0RQ where R is the radius of the sphere. Then C=△VQ=a1−b14πϵ0. Now for an isolated spherical conductor, taking limits as a→R and b→∞ , we have C=4πϵ0R.