Term

With two points i and f separated by a small distance, where the distance is essential constant, what is the work done by the electric field as charge q moves through the small distance

Definition

W= Fs x deltas= qEs x delta s

Term

Potential difference between those two-point charges at i and f

Definition

delta V= Uq+othersources/q= -W/q= -(qEsdeltas)/q= -Es x deltas

Term

In terms of potential, the component of the electric field in the s-direction is and how is the field in relation to the coor axis

Definition

Es= deltaV/deltaS as the limit is s->0 meaning Es= -dV/dS parallel