系列导体平行板静电平衡问题的讨论

Discussions on electrostatic equilibrium problem of series parallel conductor plates

基于物理意义的挖掘,并运用等效原理和叠加原理,对系列平行导体板的静电平衡问题进行了较为系统的研究.作者认为该类型问题可以按边界条件的不同进行区域划分,每个区域都可以归纳为几种基本类型中的一种,每种基本类型的求解过程都非常规范且简单.另外,还可以用整体法把多个导体板的问题转化为2个板的简单情况.

Both equivalence principle and superposition principle are adopted for discussing electrostatic equilibrium problem of series parallel conductor plates. The physical meanings about the mathematic resuhs are also studied. We have pointed out that plates can be divided into some classic and basic partitions according to the boundary condition; each partition can be solved very easily. The problem of this type can be transformed to very simple situation that only contains two plates by using integral method.