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Electrostatic Potential And Potential Difference.

Physics

definition

Energy density of a medium

Energy density is the amount of energy stored in a given system or region of space per unit volume or mass.

Energy density in an isotropic medium:
                   

definition

Electric potential

Electric potential () at a point is defined as the amount of work done in bringing a unit positive charge from infinity to that point.
Unit of potential is .

Note: Potential is taken to be zero at infinity and at ground.

result

Work done by a given charge

Work done by a charge to move through a potential difference is given by
Where = Final potential and = Initial potential

definition

Unit of potential difference

The S.I Unit of potential difference is volt (V).
1 volt =One volt is the potential difference between two points in a current carrying conductor when 1 joule of work is done to move a charge of 1 coulomb from one point to the other.

The potential difference is measured by an instrument called voltmeter.