Abstract

The paper studied the problems for solving a static, passive and axial symmetric electric field. In the circumstances of the electric field which is limited and differentiable on a symmetric axis, it provides a new computing theory and method using Maxwell equations. Out-of-axis electric field can be transformed into series by means of the theory and method. The series include the field on the symmetric axis and its different order derivatives. To apply the theory and method is very easy, quick and exact to perform numerical calculation. Using the method the paper studies the electric field emitted by a point charge. Approximate calculations are performed. When choosing only the first thirteen terms, on the curved surface that r and z is in a ratio of one to three, the relative errors of approximate results and their exact values of z and r components of the electric field are 0.00000000023% and 0.00000000035% respectively.

Paper Details