孤立带电导体的面电荷分布

Surface charge distribution of an isolated conductor

在静电场中,导体的面电荷分布取决于它的总电荷、几何参数(面曲率、构形和尺寸)以及它所处的空间环境.本文给出若干论述,得到如下的结论:在静电学中,对导体表面电荷密度不存在普遍适用的确定的显含导体的面曲率的函数公式。

In electrostatic field,the surface charge distribution of a conductor depends upon its total charge,geometrical parameters(surface curvature,configuration and size),and the environmental space in which it is embedded.In this paper we give some arguments which lead to the conclusion:in electrostatics there is no universally exact functional formula for the surface charge density of a conductor which contains its surface curvature explicitly.