ABSTRACT
This chapter focuses on conformal mapping and some of its applications in solving practical problems in electrostatics. Conformal mapping is a useful technique in the area of complex analysis and has many applications in different practical configurations. Conformal mapping is a technique that allows one to take hard problems, map them onto a coordinate system, where they are convenient to solve, find the solution and then map the solution back to the original system. Conformal transformation is based on the properties of analytic functions. The field within the two cylindrical conductors in the z-plane is conformally mapped to field between two infinitely long parallel plates, that is, the field within a parallel plate capacitor, in the w-plane. Conformal mapping is a powerful method for solving boundary value problems in a two-dimensional potential theory through the transformation of a complicated region into a simpler region.
