Electric Potential Definition

Electric Potential Definition:

The Electric Potential point due to a charge is the work done in bringing a unit positive charge from infinity to that point. The concept of electric potential is extremely important for the determination of capacitance in a circuit since the latter is defined as the charge per unit potential. We shall now  discuss in detail the Electric Potential Definition due to some important conductor arrangements.

Electric Potential Definition

1.Potential at a Charged Single Conductor:

Consider a long straight cylindrical conductor A of radius r metres. Let the conductor operate at such a potential (VA) that charge QA coulombs per metre exists on the conductor. It is desired to find the expression for VA. The electric intensity E at a distance x from the centre of the conductor in air is given by:

Electric Potential Definition

As x approaches infinity, the value of E approaches zero. Therefore, the potential difference between conductor A and infinity distant neutral plane is given by :

Electric Potential Definition

2.Potential at a Conductor in a Group of Charged Conductors:

Consider a group of long straight conductors A, B, C etc. operating at potentials such that charges QA, QB, Qc etc. coulomb per metre length exist on the respective conductors (see Fig. 9.20). Let us find the potential at A (i.e. VA) in this arrangement. Potential at A due to, its own charge (i.e. QA)

Electric Potential Definition

Electric Potential Definition

Potential at conductor A due to charge QB

Electric Potential Definition

Potential at conductor A due to charge Qc.

Electric Potential Definition

Overall potential difference between conductor A and infinite neutral plane is

Electric Potential Definition

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