Work of an electric force
The work that an electrical charge performs is analogous to the work done by the other potential energies used in the study of mechanics, namely:
If we imagine two points in an electric field, each of them will have potential energy given by:
Being the work done between the two points:
But we know that when the considered force is electrostatic, then:
Potential difference between two points
Consider two points of an electric field, A and B, each with a post at a different distance from the generating load, that is, with different potentials. If we want to know the difference of potentials between the two we must consider the distance between each of them.
Then we will have that its voltage or d.d.p (potential difference) will be expressed by U and calculated by: