An infinitely long line of charge with uniform density is ρl = 6 (nC/m) lies in the x−y plane parallel to the y-axis at x = 2 m. Find the potential VAB at point A(3 m, 0, 4 m) in Cartesian coordinates with respect to point B(0, 0, 0) by applying the result of Problem 1.
Problem 1
Show that the electric potential difference V12 between two points in air at radial distances r1 and r2 from an infinite line of charge with density ρl along the z-axis is V12 = (ρl/2πε0) ln(r2/r1).
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