For the infinite slot (Ex. 3.3), determine the charge density σ(y) on the strip at x = 0...

For the infinite slot (Ex. 3.3), determine the charge density σ(y) on the strip at x = 0, assuming it is a conductor at constant potential V₀.

Reference example 3.3

Two infinite grounded metal plates lie parallel to the xz plane, one at y = 0, the other at y = a (Fig. 3.17). The left end, at x = 0, is closed off with an infinite strip insulated from the two plates, and maintained at a specific potential V₀(y). Find the potential inside this “slot.”