A two-dimensional potential exists on a unit square area (0 ? x ? l, 0 ? y ? l) bounded by "surfaces" held at zero potential. Over the entire square there is a uniform charge density of unit strength (per unit length in z). Using the Green function of Problem 2.15, show that the solution can be written as

Transcribed Image Text:

cosh[(2m + 1) T(y - )| cosh[(2m + 1) T/2] sin[(2m + 1) TX] 4 Ф(х, у) (2m + 1) T Eo m=0