Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)

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....

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Main Authors: WANGShuping(王树平), WANGHaosen(王浩森), SHENWenmei(沈文梅)
Format: Article
Language:zho
Published: Zhejiang University Press 2018-11-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2018.06.009
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author WANGShuping(王树平)
WANGHaosen(王浩森)
SHENWenmei(沈文梅)
author_facet WANGShuping(王树平)
WANGHaosen(王浩森)
SHENWenmei(沈文梅)
author_sort WANGShuping(王树平)
collection DOAJ
description 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.
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spelling doaj.art-b28ca9c80525490291fb2a8e69a276b92024-03-29T01:58:38ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972018-11-0145669870110.3785/j.issn.1008-9497.2018.06.009Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)WANGShuping(王树平)0https://orcid.org/0000-0003-4906-9904WANGHaosen(王浩森)1SHENWenmei(沈文梅)2Department of Mathematics and Physics, Hebei Institute of Architecture Engineering, Zhangjiakou 075000, Hebei Province, China(河北建筑工程学院数理系,河北 张家口 075000)Department of Mathematics and Physics, Hebei Institute of Architecture Engineering, Zhangjiakou 075000, Hebei Province, China(河北建筑工程学院数理系,河北 张家口 075000)Department of Mathematics and Physics, Hebei Institute of Architecture Engineering, Zhangjiakou 075000, Hebei Province, China(河北建筑工程学院数理系,河北 张家口 075000)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.https://doi.org/10.3785/j.issn.1008-9497.2018.06.009拉普拉斯方程叠加原理带电细圆环介质球电势分布
spellingShingle WANGShuping(王树平)
WANGHaosen(王浩森)
SHENWenmei(沈文梅)
Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
Zhejiang Daxue xuebao. Lixue ban
拉普拉斯方程
叠加原理
带电细圆环
介质球
电势分布
title Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
title_full Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
title_fullStr Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
title_full_unstemmed Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
title_short Investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid(带电细圆环和均匀介质球系统的电势分布计算)
title_sort investigating the potential distribution of a system consisting of a charged ring and a dielectric spheroid 带电细圆环和均匀介质球系统的电势分布计算
topic 拉普拉斯方程
叠加原理
带电细圆环
介质球
电势分布
url https://doi.org/10.3785/j.issn.1008-9497.2018.06.009
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