State clearly the difference (a) between electric potential and electric field, (b) between electric potential and electric potential energy.

The electric potential at any point in space is defined as the electric potential energy per unit charge at that point.

\(V = \frac{{PE}}{q}\)

The electric field at any point in space is defined as the electric force per unit charge at that point.

\(E = \frac{F}{q}\)

Electric potential is a scalar quantity, whereas the electric field is a vector quantity.

For a point charge, electric potential inversely depends on distance and electric field inversely depends on the square of the distance.

The electric potential at any point in space is defined as the electric potential energy per unit charge at that point.

\(V = \frac{{PE}}{q}\)

Electric potential is the amount of work done to move a positive test charge from infinity to a point in space.

Electric potential energy is the energy required to move a charge in an electric field.