**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-**

**In this article, we will learn about the capacitance of an isolated spherical conductor.**

**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)**

**Also Read-** **Electric Potential Due To Uniformly Charged Thin Spherical Shell**

**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= 4πε _{o}R** is

**valid for both hollow and solid spherical conductors**.

**Read the next article on-**

**Get more notes & other study material of the Chapter** **Electrostatic Potential & Capacitance**.