2D Electrostatic Fields

This book demonstrates how to use functions of a complex variable to solve engineering problems that obey the 2D Laplace equation (and in some cases the 2D Poisson equation). The book was written with the engineer/physicist in mind and the majority of the book focuses on electrostatics. A key benefit of the complex variable approach to electrostatics is the visualization of field lines through the use of field maps. With todaysâ powerful computers and mathematical software programs field maps are easily generated once the complex potential has been determined. Additionally problems that would have been considered out of scope previously are now easily solved with these mathematical software programs. For example solutions requiring the use of non-elementary functions such as elliptic and hypergeometric functions would have been viewed as not practical in the past due to the tedious use of look up tables for evaluation. Now elliptic and hypergeometric functions are built-in functions for most mathematical software programs making their evaluation as easy as a trigonometric function. Key highlights in the book include 2D electrostatics completely formulated in terms of complex variables More than 60 electrostatic field maps Comprehensive treatment for obtaining Greenâs functions with conformal mapping Fully worked Schwarz-Christoffel transformations to more than usual number of problems A full chapter devoted to solving practical problems at an advanced level Detailed solutions to all end of chapter problems available on bookâs website Although the text is primarily self-contained the reader is assumed to have taken differential and integral calculus and introductory courses in complex variables and electromagnetics. . Language: English