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Electric-Potential-final - Electrostatics(Electric...

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www.plustwophysics.com CBSE Class XII Notes Electrostatics (Electric Potential) P a g e | 1 Electric Potential at a point in an electric field is defined as the work done per unit charge in bringing a unit positive charge from infinity to that point without any acceleration and against the electric force. Electric Potential Difference between two points in an electric field is defined as the work done per unit charge in bringing a positive test charge from one point to another without any acceleration against the electric force. Unit of electric potential and potential difference is volt (V). Dimensions of Potential Define 1 volt The potential at a point in an electric field is said to be 1 volt if 1 joule of work is done in bringing unit positive charge (1 C) from infinity to that point against the electric field without any acceleration. The potential difference between two points in an electric field is said to be 1 volt if 1 joule of work is done in moving unit positive charge (1 C) from one point to the other against the electric field without any acceleration. Electric Potential due to a point charge Consider a point charge q kept at a point O. Let P be a point at a distance r from O where the electric potential is to be calculated. Let a point test charge q 0 be kept at P. The force acting on q 0 , The work done by an external agent against the repulsive force between the two charges through a small distance dr, The total work done by the external agency in moving the charge q 0 from infinity to the point P, By definition of potential, Electric potential due to a system of charges is the algebraic sum of potentials due to individual charges. If charges q 1 , q 2 , q 3 … q N are located at distances r 1 , r 2 , r 3 , … r N from a point P, then the resultant potential at P, Electric Potential due to a dipole
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