接地导体球与均匀带电环静电问题的电像法与直接法研究

On Electrostatic Problem Electrical Image Method and Direct Method Research of Grounding Conductor Ball and a Uniformly Charged Ring

文章应用电像法求解接地导体球与均匀带电圆环位于以导体球心为坐标原点的某个球面上的静电问题;用推广了的静电边值关系分区解拉普拉斯方程得到接地导体球与均匀带电圆环静电问题的解;二者结果完全一致,说明推广的电像法正确。

This paper uses electrical image method to solve the electrostatic problem of grounding conductor sphere and uniform charged ring, and by electrostatic boundary value relations partition, it solves Laplace equation to get the electrostatic problem of grounding conductor sphere and uniform charged ring. It turns out two results are completely consistent, and proves that the application of electrical image method is correct.