关于《有限长带电导体直线的电荷分布》的商榷  

Discussion on“The electric charge density distribution of a charged conducting definite straight line”

作　　者：周群益 周丽丽[2] 莫云飞 侯兆阳 ZHOU Qun-yi;ZHOU Li-li;MO Yun-fei;HOU Zhao-yang(College of General Education,‘Guangzhou Institute of Science and Technology,Guangzhou,Guangdong 510540,China;School of Medical and Information Engineering,Gannan Medical University,Zhangzhou,Jiangxi 341000,China;School of Electronic Information and Electrical Engineering,Changsha University,Changsha,Hunan 410022,China;School of Science,Chang’an University,Xi’an,Shaanxi 710064,China)

机构地区：[1]广州理工学院通识教育学院,广东广州510540 [2]赣南医学院医学信息工程学院,江西赣州341000 [3]长沙学院电子信息与电气工程学院,湖南长沙410022 [4]长安大学理学院应用物理系,陕西西安710064

出　　处：《大学物理》2022年第6期31-36,39,共7页College Physics

基　　金：广东省高校科研特色创新项目(2020KTSCX209);自然国家科学基金(12004053);湖南省教育厅科学研究顶目(19C0176)资助。

摘　　要：本文指出了一篇文献中有限长带电直线导体的电荷分布线密度公式的错误,用多种方法证明了带电线段的电荷分布是均匀的.推导了均匀带电线段的等势线方程和电场方程,证明带电线段就是等势线,电场线与线段垂直.证明了线段外的电势满足三维拉普拉斯方程,从而证明均匀带电线段是导体.The error in the formula of the charge distribution linear density of a finite-length charged linear conductor in the literature is pointed out,and a variety of methods are used to prove that the charge distribution of the charged wire section is uniform.The equipotential line equation and electric field equation of the uniformly charged section are deduced,and it is proved that the charged section is the equipotential line,and the electric field line is perpendicular to the line section.It is proved that the electric potential outside the line segment satisfies the three-dimensional Laplace equation,so as to prove that the uniformly charged line segment is a conductor.

关 键 词：带电线段 电荷密度 投影法 电势 无量纲作图 

分 类 号：O441[理学—电磁学]