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电介质扁球体内部点电荷的静电势。

Electrostatic potential of point charges inside dielectric oblate spheroids.

作者信息

Deng Shaozhong

机构信息

Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223-0001, USA.

出版信息

J Electrostat. 2009 Sep;67(5):807-814. doi: 10.1016/j.elstat.2009.06.007.

DOI:10.1016/j.elstat.2009.06.007
PMID:20160934
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC2764543/
Abstract

As a sequel to a previous paper on electrostatic potential of point charges inside dielectric prolate spheroids [J. Electrostatics 66 (2008) 549-560], this note further presents the exact solution to the electrostatic problem of finding the electric potential of point charges inside a dielectric oblate spheroid that is embedded in a dissimilar dielectric medium. Numerical experiments have demonstrated the convergence of the proposed series solutions.

摘要

作为之前一篇关于电介质长椭球体内点电荷静电势的论文[《静电学杂志》66 (2008) 549 - 560]的续篇,本笔记进一步给出了在嵌入不同电介质介质中的电介质扁椭球体内求点电荷电势的静电问题的精确解。数值实验证明了所提出的级数解的收敛性。

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本文引用的文献

1
Electrostatic potential of point charges inside dielectric prolate spheroids.电介质长椭球体内点电荷的静电势。
J Electrostat. 2008;66(11-12):549-560. doi: 10.1016/j.elstat.2008.06.003.