Question

define the electric potential difference between 2 point in a electric circuit carrying some current

Answer 1

The electric potential difference between the two points in an electric circuit carrying some current is the work done to move a unit charge from one point to other.

Answer 2

The potential difference between two points in an electric circuit is defined as the amount of work done in moving a unit charge from one point to the other point. That is

Potential difference = Work done / Quantity of charge moved