By using a cylindrical surface of length, L, and radius, r, we can use Gauss’ Law to determine the field at a distance, r, from the wire: \[\begin{aligned} \oint \vec E\cdot d\vec A&=\frac...By using a cylindrical surface of length, L, and radius, r, we can use Gauss’ Law to determine the field at a distance, r, from the wire: ∮→E⋅d→A=Qencϵ02πrLE=λLϵ0∴ Using the electric field, we can calculate the potential difference between two points that are at distances, r_A and r_B, from the wire: \[\begin{…
