A Study on Electrostatic Field Mapping

In the electrical engineering problem such as determination of capacitance between conductors, the maximum gradient in insulation, the acceleration force on an electron moving in an electronic apparatus, a complete knowledge of the electrostatic field is always necessary for further analysis. The electrostatic field, characterized by a vector quantity called field strength at any point, is caused and determined by electric charge distribution. In this paper, fundamental relations in electrostatic fields are first briefly derived. A general discussion follows to specify the kind of problems practically encountered. It is the main purpose of this paper that the solutions are to be sought through various ways. For the purposes of this paper, five analytical methods were used: direct integration, image method, conformal representation and transformation, separation of variables method, and use of Green’s function