# Electrical Capacitance of A Conductor-

Before you go through this article, make sure that you have gone through the previous article on Electrical Capacitance of a Conductor.

We have learnt-

• The electrical capacitance of a conductor is a measure of its ability to store electric charge or energy.
• It depends on the shape and size of the conductor.
• Its SI unit is farad (F).

If charge Q raises the potential of conductor by V, then its electrical capacitance is given by the formula-

## Capacitance of An Isolated Spherical Conductor-

Consider an isolated spherical conductor of radius R in free space. Let a charge Q is given to the sphere which spreads uniformly on its surface.

The electric potential at any point on the surface of sphere is given by-

(Equation-01)

Now, capacitance is given by the formula-

(Equation-02)

Using Equation-01 in Equation-02, we get-

On solving, we get-

This is the required formula for the capacitance of an isolated spherical conductor.

## Important Notes-

### Note-01:

The capacitance of an isolated spherical conductor is directly proportional to its radius.

Thus, larger the sphere, larger is its capacitance & smaller the sphere, smaller is its capacitance.

### Note-02:

The above formula for capacitance C= 4πεoR is valid for both hollow and solid spherical conductors.