Question

please help... difference between potential difference and potential gradient ?

Answer 1

potential difference between two points indicates the amount of work done in moving a unit positive charge between the two point where as potential gradient tells you the rate of change of potential with respect to distance

Answer 2

What is Electric Potential?

Electric potential (V) is the property of points in space. Electric potential can be defined in several ways:

The value of the electric potential at a point in space numerically gives the amount of work that needs to be done to bring a unit positive charge from infinity to that point.

A charge q is said to have a potential energy of Vq if it is at a point in space which has a potential of V.

For example, if you place a charge q at a point, space nearby will have a non-zero value of potential. The electric potential at a point due to a charge at a distance r from it is given by:

V=kqr

What is Electric Potential Energy?

Electric potential energy (U) is the property of a system. Two charges in the vicinity of each other are said to have potential energy.

The electric potential energy associated with two charges separated by a distance r is given by:

U=kq1q2r