In: Physics
Consider two infinitely long wires running parallel to the x axis, one along (x, a, 0) the other along (x, −a, 0), for −∞ < x < ∞ and 2a is the separation between the two wires. They carry opposite uniform charge densities +λ and −λ respectively. (a) Find the potential at any point (x, y, z) using the origin at your reference point so that V (0) = 0. (b) Show that the equipotential surfaces are (generically) circular cylinders. Locate the axis and radius of the cylinder corresponding to a given potential V0 .
Let me know if you have any doubt. This solution is based on electric field and electric potential and basic equation of circles.