Why do we define electric potential? We have defined potential energy of a test charge q in terms of the work done on the charge q. This work is obviously proportional to q, (since the force at any point is qE, where E is the electric field at that point due to the given charge configuration). If we divide the work by the amount of charge q, the resulting quantity is independent of q. In other words, work done per unit test charge is characteristic of the electric field associated with the charge configuration. Thus work done per unit charge leads to the idea of electrostatic potential V due to a given charge configuration.
Wab/q = Vp
This equation explain that the work done by an external force in bringing a unit positive charge from infinity to a point is equal to the electrostatic potential(V) at that point. Hence electro static potential at any point may be defined as the work done in bringing a unit positive charge from infinity to that point without any acceleration.
1.18 Potential due to a Point Charge
The electric potential due to a point charge at a point depends on magnitude of charge, distance of the point and also on the surrounding medium. The equations shows that potential due to a point charge decreases with increase in distance and becomes zero at infinity
Wab/q = Vp
This equation explain that the work done by an external force in bringing a unit positive charge from infinity to a point is equal to the electrostatic potential(V) at that point. Hence electro static potential at any point may be defined as the work done in bringing a unit positive charge from infinity to that point without any acceleration.
1.18 Potential due to a Point Charge
The electric potential due to a point charge at a point depends on magnitude of charge, distance of the point and also on the surrounding medium. The equations shows that potential due to a point charge decreases with increase in distance and becomes zero at infinity
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