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Orthogonal Coordinate Systems

ABSTRACT The purpose of this chapter is to present coordinate systems in such a way that it improves the ability of readers to use them to describe the electric field in a better way. The goal is to put forward the coordinate system as a useful language for describing, visualizing and understanding the concepts that are central to electric field analysis. Many mathematical operators related to electric field analysis have simple forms in Cartesian coordinates and are easy to remember and evaluate. In fact, all the problems could be solved using the Cartesian coordinate system. However, the resulting expressions might be unnecessarily complex. While dealing with problems that have high degree of symmetry, it ...

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