介质存在时利用镜像法求解电势的讨论
收稿日期: 2020-07-13
修回日期: 2020-08-31
网络出版日期: 2021-02-22
基金资助
国家自然科学基金( 11405121) ; 西安交通大学基本科研业务费( xzy012019061) 资助
Discussion on image method within dielectic
Received date: 2020-07-13
Revised date: 2020-08-31
Online published: 2021-02-22
付春娥 . 介质存在时利用镜像法求解电势的讨论[J]. 大学物理, 2021 , 40(2) : 21 -22 . DOI: 10.16854 /j.cnki.1000-0712.200300
The method of images is a mathematical tool to solve the electrostatic differential problem,i.e.,introducing
image charge outside the solved space,and making the total field formed by the image charge and the
source charge satisfy the boundary. When this method is applied to the presence of adielectic,it will be found that
the choice of image charge is not unique. This also accords with the uniqueness theorem of the electrostatic problem,
because no matter what kind of image chargeis,the total field is the same. From the total field,the amount of
bound charge can be obtained. At this time,it will be further found that the reisonly one kind of image charge equal
to the amount of bound charge.
Key words: method of images; image charge; uniqueness theorem
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