双环静电问题的分区分离变量解研究

A solution with the region-separating and the variable-separating method to electrostatic problem of double charged ring

本文研究了在球坐标系下用带电圆环面电荷密度表象、分区分离变量法解拉普拉斯方程及推广了的电磁边值关系,一般地求解任意取向轴线相交的带电双环静电问题,并由此给出了求解非对称静电问题的典型范例.

In this paper, the electrostatic problem of the axis-intersecting double charged ring in the spherical coordinate system is studied with the surface charge density representation of a uniformly charged ring, the solution of Laplace equation for the region-separating and the variable-separating method and generalization of the boundary-value relation in electromagnetic field, and thus we give a typical example of the non-symmetric electrostatic problem in the spherical coordinate system.