Dear Student,

Electric potential:

Electric potential is defined as the amount of work done to bring unit positive charge slowly(acceleration =0) from infinity to at a certain point in the given electric field .

Electric potential due to a point charge Q at a distance r is given by

$V=\frac{Q}{4{\mathrm{\pi \epsilon }}_{\mathrm{o}}\mathrm{r}}$

Unit is Nm/C Electric potential is used mostly in the study of electrostatics.

Electric potential energy is defined as the capacity for doing work which arises from position or configuration of the charges on the system. It is the amount of work done in bringing a (q) charge from infinity to a point near another (Q) charge or in a system of charges.

$U=\frac{Qq}{4{\mathrm{\pi \epsilon }}_{0}\mathrm{r}}$

Regards.

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The basic difference between electric potential and electric potential energy is that Electric potential at a point in an electric field is the amount of work done to bring the unit positive charge from infinity to that point, while electric potential energy is the energy that is needed to move a charge against the electric field.
The gravitational potential at a point in the gravitational field is the gravitational potential energy of a unit mass placed at that point. In this way, the electric potential at any point in the electric field is the electric potential energy of a unit positive charge at that point.
If W is the work done in moving a unit positive charge q from infinity to a certain point in the field, the electric potential V at this point is given by:
V = W/q
It implies that electric potential is measured relative to some reference point and like potential energy we can measure only the change in potential between two points.
Electric potential is the scalar quantity. Its unit is volt which is equal to joule per coulomb (J/C).
Definition of volt
If one joule of work done against electric filed to bring the unit positive charge from infinity to the point in the electric field then potential difference at that point will be one volt.
Electric potential energy
To apply the law of conservation of energy, we need to define electric potential energy, potential energy can be defined only for conservative force. The work done by a conservative force in moving an object between any two positions is independent of the path taken. The electrostatic force between any two charges is conservative because the dependence of on positions is just like the gravitational force which is a conservative force. Hence we can define potential energy for electrostatic force.
We know that the change in potential energy between any two points, a and b equals the negative of work done by the conservative force on an object as it moves from point a to point b:
Δ P.E = -W
Hence we define the change in potential energy (P.Eb – P.E a), when a point charge q moves from some point a to another point b.As the negative of the work done by the electric force on charge as it moves from point a to b.

Hope This Helps You :)

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