ABSTRACT

This chapter presents coordinate systems in a way that it improves the ability of readers to use them to describe the electric field in a better way. Orthogonal curvilinear coordinate system is a useful approach by which the matching of the symmetry of a given physical configuration could be done and simplified mathematical models could be built to clarify the field concepts clearly. Cylindrical coordinates are an alternate way of describing points in a three-dimensional space. Generalized orthogonal curvilinear coordinate system emphasizes on the similarities between different orthogonal coordinate systems rather than highlighting their differences. In field analysis, it is often required to perform vector operations to get vector and scalar derivatives of scalar and vector fields, which are scalar and vector functions of position, respectively. Most commonly used vector operations are gradient, divergence, curl and Laplacian.