Figure 3

Conformal mapping method for a multiply connected region.

(a) Schematic of a doubly connected region. A conductor EF is enclosed by the structure shown in Fig. 1a, and its potential satisfies V₂ > V₃ > V₁. (b) The conformal mapping structure of a. The conductor EF is an infinitely thin closed straight line. (c) Another situation, V₂ > V₁ > V₃, for the structure shown in a. (d) The conformal mapping structure of c where the position of an electric field line GH is known. The known field line GH is mapped onto two separate lines. (e) The conformal mapping structure of c where GH is unknown. It is a circular slit structure, where AB is an infinitely thin folded arc.