Please wait a minute...
浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (6): 698-701    DOI: 10.3785/j.issn.1008-9497.2018.06.009
物理学     
带电细圆环和均匀介质球系统的电势分布计算
王树平, 王浩森, 沈文梅
河北建筑工程学院 数理系, 河北 张家口 075000
Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid
WANG Shuping, WANG Haosen, SHEN Wenmei
Department of Mathematics and Physics, Hebei Institute of Architecture Engineering, Zhangjiakou 075000, Hebei Province, China
 全文: PDF(1101 KB)   HTML  
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.
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    
Abstract: 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.
Key words: Laplace equation    superposition principle    charged ring    dielectric spheroid    potential distribution
收稿日期: 2017-11-24 出版日期: 2018-11-25
CLC:  O441  
基金资助: 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）.
作者简介: 王树平(1977-),ORCID:http://orcid.org/0000-0003-4906-9904,男,硕士,副教授,主要从事大学物理的教学和研究工作,E-mail:zhangjiakouwsp@sina.com.
服务　　
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章　　
王树平
王浩森
沈文梅

引用本文:

王树平, 王浩森, 沈文梅. 带电细圆环和均匀介质球系统的电势分布计算[J]. 浙江大学学报（理学版）, 2018, 45(6): 698-701.

WANG Shuping, WANG Haosen, SHEN Wenmei. Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid. Journal of Zhejiang University (Science Edition), 2018, 45(6): 698-701.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.06.009    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I6/698

[1] 张之翔.圆环电荷的电势的几种算法及讨论[J].大学物理,2006,25(8):7-10. ZHANG Z X. Different methods of calculating the electric potential of a uniformly charged ring[J]. College Physics, 2006,25(8):7-10.
[2] 于凤军.一个关于勒让德多项式的积分公式及其简单应用——圆形带电环和电流环的静态电磁势[J].大学物理,2007,26(9):17-19. YU F J. On an integral formula of Legendre polynomial and its simple application[J]. College Physics, 2007,26(9):17-19.
[3] 许瑞珍,蔡声镇.均匀带电圆环在空间任意点电势分布的计算[J].福建师范大学学报(自然科学版),2007,23(4):70-73. XU R Z, CAI S Z. Calculating the electric potential distribution which arbitrarily selects in the space[J]. Journal of Fujian Normal University(Natural Science Edition), 2007,23(4):70-73.
[4] 贾秀敏.再论带电细圆环与导体球壳系统的场分布[J].浙江大学学报(理学版),2011,38(2):182-184. JIA X M. Electric field distribution of a system consisting of a charged ring and conducting sphere[J]. Journal of Zhejiang University(Science Edition), 2011,38(2):182-184.
[5] 李秀燕,陈赐海.带电细圆环与导体球壳系统的场分布[J].大学物理,2007,26(11):36-38. LI X Y, CHEN C H. The space distribution of electric field generated by a uniformly charged ring[J]. College Physics, 2007,26(11):36-38.
[1] 张申贵. 一类分数阶p（x）-拉普拉斯方程的多重解[J]. 浙江大学学报（理学版）, 2020, 47(5): 535-540.