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电磁学突变面上矢量的处理方法

Solution of vector on the catastrophe surface of electromagnetism
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摘要 在大学基础课程电磁学中,我们经常会处理有关电磁介质的问题.空间中的电磁介质经常会出现突变面,即介电常量或磁导率在一分界面上发生突变,导致其两端的物理量发生改变.一般的,我们在处理这类问题时会使用边界条件推导出突变面两侧物理量之间的关系,而本文将在这一基础上对于已有的电磁介质理论进行修补,使电磁介质突变面拥有更加清晰的数学模型,使其能准确描述边界上点的情况.本文主要面向大学一二年级物理系正在学习电磁学的新生,在文末也会配有相关例题,希望可以对他们处理平时课堂或作业中的问题有所帮助和启发. In electromagnetism,we often deal with the problem of catastrophe surface of electromagnetic medium,which means that the dielectric constant or permeability changes suddenly at the interface.Generally,when dealing with such problems,we will use boundary conditions to deduce the relationship between physical quantities on both sides of the catastrophe surface.On this basis,this paper will repair the existing electromagnetic medium theory,so that the catastrophe surface of electromagnetic medium has a clearer mathematical model,and can accurately describe the points on the boundary.This paper is mainly for freshmen who are studying electromagnetism in grade one or grade two.Relevant examples will also be provided at the end of the paper,hoping to help and inspire them to deal with problems in their usual classroom or homework.
作者 林天哲 LIN Tian-zhe(School of Physics,Nanjing University,Nanjing Jiangsu210033,China)
出处 《大学物理》 2022年第9期56-62,共7页 College Physics
关键词 电磁介质 二类高斯闭合曲面 二类高斯闭合曲线 边界矢 electromagnetic medium second kind of Gaussian closed surface second kind of Gaussian closed curve boundary vector
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  • 1赵凯华 陈熙谋.电磁学[M].北京:人民教育出版社,1978..
  • 2梁灿彬 秦光戎.电磁学[M].高等教育出版社,1980..
  • 3梁绍荣.普通物理学[M].北京:高等教育出版社,1990.303.

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