I am currently in a Physics II course and we learned about the potential difference between two points in space that are a certain distance away from a point charge. If the distance is directly correlated to the potential difference for the equation V = E*dr, how come this does not apply to a wire in a circuit?
To better explain the question, try to picture this scenario:
Imagine an electron between one negatively and one positively charged particle. Both of these particles have an electric field that applies a force to the electron in between. There's a potential difference between the position that the electron is currently in and a position closer to the positively charged particle; Now let's say I replace this path between the particles with a wire, shouldn't the potential difference be the same and depend upon the length of the wire?