ABSTRACT

This chapter discusses the experimental and graphical field mapping methods. Graphical field plotting is one such method that is dynamic in nature and illustrates the vector nature of the electric field. Graphical field plotting is economical compared to experimental method and is also capable of providing good accuracy when used with skill. Field mapping by curvilinear squares is a graphical method based on the orthogonal property of a pair of conjugate harmonic functions and also on the geometric considerations. Curvilinear field mapping is based on Cauchy–Riemann relations, which ensures that Laplace’s equation is satisfied by a conjugate pair of harmonic functions in any orthogonal coordinate system. Once the field map is drawn, it is possible to determine the capacitance per unit length between the two conductors using the field map. For two-dimensional configurations comprising multi-dielectric media, the field map is first drawn in the field region where there is only one dielectric media.