Difference Between Electric Potential and Potential Difference is also related topic to the electrostatics.

Electric potential at a point in an electric

field is equal to the amount of work done in bringing a unit

positive charge from infinity to that point.

If W is the work done in moving a unit positive charge from

infinity to a certain point in the field, the electric potential V

at this point would be given by

V=W/Q ………. (13.6)

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 a scalar quantity.

Its SI unit is volt which is equal to J C^{-1}.

If one joule of work is done against the electric field in

bringing one coulomb positive charge from infinity to a point

in the electric field then the potential at that point will be one

volt. Or if the potential energy of one coulomb of charge at a

point in the electric field is one joule, the potential of that

point will be one volt.

A body in gravitational field always tends to move from a

point of higher potential energy to a point of lower potential

energy. Similarly, when a charge is released in an electric

field, it moves from a point of higher potential say A to a point

at lower potential say B (Fig.13.16). If the potential of point A

is V_{a} and that of point B is V_{b}, the potential energy of the

charge at these points will be qV_{a} and qV_{b} respectively. The

change in potential energy of the charge when it moves from

point A to B will be equal to qV_{a}– qV_{b}. This energy is utilized in

doing some useful work. Thus

Energy supplied by the charge = q (V_{a}– V_{b}) ………. (13.7)

If q is equal to one unit, then the potential difference

between two points becomes equal to the energy supplied

by the charge. Thus, we define potential difference between

two points as the energy supplied by a unit charge as it moves

from one point to the other in the direction of the field.

If a positive charge is transferred from a point of lower

potential to a point of higher potential i.e. against the field

direction, energy would have to be supplied to it.

When we release a negative charge in an electric field, its

behaviour will be opposite to that of positive charge. A more

useful unit for the electrical energy is electron volt (eV).

ΔV=VB-VA=W_{AB}/q_{0}=ΔU/q_{0}

Where VA and VB are defined electric potentials at points A and B respectively.Electric potential energy difference and electric potential difference between the points A and B are related as

ΔU=q0ΔV=W_{AB}

Thus the p.d between the two points can be defined as “the difference of the potential energy per unit charge.”

1volt=1joule/1coulomb

That is,a potential difference of 1 volt exists between two points if work done in moving a unit positive charge from one point to other ,keeping equilibrium,is one joule. In order to give a concept of electric potential at a point in an electric field,we must have a reference to which we assign zero electric potential.this point is usually taken at infinity .Thus in equation

ΔV=V_{B}-V_{A}=W_{AB}/q_{0}

we take A to be at infinity and choose Va=0,the electric potential at B will be

V_{B}=W_{B}/q_{0}

or dropping the subscripts we have an equation

V=W/q_{0}

which states that the electric potential at any point in an electric field is equal to work done in bringing a unit positively charge from infinity to that point keeping it in equilibrium.It is to be noted that potential at a point is still potential difference between the potential at that point and potential at infinity.Both potential and potential differences are scalar quantities because both W and q0 are scalars. Watch video about electric potential and potential difference to clear your concepts visually.

**Video about Difference between electric potential and potential difference**

To see the difference between electric potential and potential difference watch video given below: