It means that the work done by an electrostatic field in
moving a charge from one point to another depends only on the initial
and the final points and is independent of the path taken to go from
one point to the other This is the fundamental characteristic of a
conservative force The concept of the potential energy would not be
meaningful if the work depended on the path The path-independence
of work done by an electrostatic field can be proved using the
Coulomb’s law