**Electrical Capacitance of A Conductor-**

The electrical capacitance of a conductor is a measure of its ability to store electric charge or energy. |

It is a **positive scalar **quantity.

**Capacitance Formula-**

When a conductor is given some charge, it acquires a certain electric potential.

**More is the charge on a conductor, more is the electric potential of it.**

**If a charge Q is put on a conductor which raises its potential by V, then-**

**Or we can write-**

where C is a constant of proportionality called as **electrical capacitance of the conductor**.

**From here, we have-**

**OR**

**If V = 1 unit, then C = Q. Thus,**

The electrical capacitance of a conductor may be defined as the charge required to raise its potential by a unit amount. |

**Factors Affecting Capacitance-**

**The capacitance of a conductor depends upon the following factors-**

- shape and size of the conductor
- nature (permittivity) of the surrounding medium
- presence of the other conductors in its neighborhood

**It is worth noticing that the capacitance of a conductor does not depend on the-**

- nature of material of the conductor
- amount of charge existing on the conductor

**SI Unit of Capacitance-**

The SI unit of capacitance is farad (F). |

**1 F = 1 C V**^{-1}

^{-1}

**The capacitance of conductor is said to be one farad ****if one coulomb of charge is required to raise its potential by 1 volt.**

It is important to note that **one farad is a very large unit of capacitance**. Other smaller and practical units of capacitance are-

- 1 micro farad (μF) = 10
^{-6}F - 1 nano farad (nF) = 10
^{-9}F - 1 pico farad (pF or μμF) = 10
^{-12}F

**Dimensional Formula of Capacitance-**

The dimensional formula of capacitance is [M^{-1}L^{-2}T^{4}A^{2}]. |

**It can be derived as-**

**Also Read-** **Deriving Dimensional Formula of Electric Potential**

**Read the next article on-**

**Capacitance of Isolated Spherical Conductor**

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