带电细圆环和均匀介质球系统的电势分布计算  

Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid

作　　者：王树平[1] 王浩森 沈文梅[1] WANG Shuping;WANG Haosen;SHEN Wenmei(Department of Mathematics and Physics,Hebei Institute of Architecture Engineering,Zhangjiakou 075000,Hebei Province,China)

机构地区：[1]河北建筑工程学院数理系,河北张家口075000

出　　处：《浙江大学学报（理学版）》2018年第6期698-701,共4页Journal of Zhejiang University（Science Edition）

基　　金：河北建筑工程学院2018年校级教研项目(2018JY2017);河北省科技厅自筹经费项目(152176294);河北省教育厅青年基金项目(QN2018217)

摘　　要：通过求解球坐标系中电势所满足的拉普拉斯方程和叠加原理,给出了带电细圆环和均匀介质球系统的电势分布解析式,根据此解析式用Matlab软件绘制等势线,并对求解结果进行了讨论,得到介质球球心、远区、系统轴线上以及带电细圆环和导体球系统的电势分布.:By solving Laplace s equation in spherical coordinates and using superposition principle,we get the expression about potential distribution of a system composed of a charged ring and dielectric spheroid,and plot the iso-potential line by Matlab.Based on the results,the electric potential distribution around the dielectric sphere center,the far zone,the system axis,the charged ring and the conductor ball system are obtained.

关 键 词：拉普拉斯方程 叠加原理 带电细圆环 介质球 电势分布 

分 类 号：O441[理学—电磁学]