均匀带电平面折线在空间产生的电场及其可视化  

The Electric Field Generated by a Uniformly ChargedPlane Fold Line and Its Visualization

作　　者：莫云飞 周群益 周丽丽[3] 侯兆阳 Mo Yunfei;Zhou Qunyi;Zhou Lili;Hou Zhaoyang(School of Electronic Information and Electrical Engineering,Changsha University,Changsha,Hunan 410022;College of General Education,Guangzhou Institute of Science and Technology,Guangzhou,Guangdong 510540;School of Medical and Information Engineering,Gannan Medical University,Ganzhou,Jiangxi 341000;School of Science,Chang'an University,Xi′an 710064)

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

出　　处：《物理通报》2022年第1期21-24,29,共5页Physics Bulletin

基　　金：广东省高校科研特色创新项目,编号:2020 KTSCX 209;国家自然科学基金,编号:12004053。

摘　　要：推导了均匀带电线段在二维平面中产生的电势的简要公式,进而推导了在三维直角坐标系中的电势公式,形成了带电折线(包括任意多边形)的电势简要公式.根据电势与电场强度之间的关系,列出了场强的表达式.将公式无量纲化,利用MATLAB指令,绘制了各种形状的带电多边形和折线的等势面和三维电场线,并显示了电场在空间的分布规律.A brief formula for the electric potential generated by a uniformly charged wire segment in a two-dimensional plane is deduced,and then the electric potential formula in a three-dimensional rectangular coordinate system is deduced,moreover,a brief formula for the electric potential of a charged fold line(including arbitrary polygons)is given.According to the relationship between electric potential and electric field strength,the expression of electric field strength is listed.The formulas are dimensionlesslized.By using MATLAB commands,the equipotential surface and three-dimensional electric field lines of various shapes of charged polygons and fold lines are drawn,as well as the distribution of electric fields in space is shown.

关 键 词：直线电荷 折线 多边形 电场强度 可视化 

分 类 号：O441.1[理学—电磁学]