Question

Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.

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Solution
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The electrostatic potential at any point in an electrostatic field is defined as the work done in carrying a unit positive charge from infinity to that point against the electrostatic force of the field.

Consider a point Charge at .
Let be a point at a distance from .
Consider a point at a distance from .
The magnitude of electrostatic force on unit-positive charge at , is

along
Work Done in moving a unit positive charge from to through a small distance is,



Total work done in moving a unit positive change from infinity to the point is,



By definition, this work done is equal to the electrostatic potential (V) at that point due to .

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Solve any question of Electrostatic Potential and Capacitance with:-
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