浅论均匀带电球冠和相切平面的电场等价性  

ON THE ELECTRIC EQUIVALENCE OF UNIFORM CHARGED SPHERICAL CROWN AND ITS TANGENT PLANE

作　　者：朱中凯 刘亲博 王睿博 朱钦圣 吴明和 滕保华 ZHU Zhongkai;LIU Qinbo;WANG Ruibo;ZHU Qinsheng;WU Minghe;TENG Baohua(Yingcai Honors College,University of Electronic Science and Technology of China,Chengdu,Sichuan 611731;School of Information and Communication Engineering,University of Electronic Science and Technology of China,Chengdu,Sichuan 611731;School of Physics,University of Electronic Science and Technology of China,Chengdu,Sichuan 611731)

机构地区：[1]电子科技大学英才实验学院,四川成都611731 [2]电子科技大学信息与通信工程学院,四川成都611731 [3]电子科技大学物理学院,四川成都611731

出　　处：《物理与工程》2021年第1期67-69,共3页Physics and Engineering

基　　金：四川省教育发展研究中心重点项目(CJF18007)的资助。

摘　　要：大学物理中不同带电体的电场等价性,能够较好地训练物理学习者的分析和解决复杂实际问题的逻辑思维,从而提高物理知识的具体应用能力。本文首先讨论了均匀带电球冠面和与之相切的均匀带电平面在球面北极点的电场等价性,然后证明了均匀带电圆弧和与之相切的均匀带电直线在圆环顶点处的场强是不等价的,并且指出只有引入随角度变化的电荷线密度才能使两者等价。The electric field equivalence of different charged objects in college physics can train physical learners’logical thinking of analyzing and solving complex practical problems,so as to improve their application ability of physical knowledge.In this paper,the electric field equivalence between the uniformly charged sphere crown and the uniformly charged plane at the north pole of the sphere is discussed firstly.Then it is proved that the electric field strength of uniformly charged arc and the uniformly charged line at the apex of the ring is not equivalent.It is shown that they can be equivalent only by introducing the charge line density as a function of the angle.

关 键 词：电场 等价性 北极点 

分 类 号：O441[理学—电磁学]