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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
【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.
【Abstract】 By solving Laplaces 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;
【Key words】 Laplace equation; superposition principle; charged ring; dielectric spheroid; potential distribution;
【Key words】 Laplace equation; superposition principle; charged ring; dielectric spheroid; potential distribution;
【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)
- 【文献出处】 浙江大学学报(理学版) ,Journal of Zhejiang University(Science Edition) , 编辑部邮箱 ,2018年06期
- 【分类号】O441.1
- 【下载频次】176