均匀异号电荷等大共轴圆板轴线上电场均匀性研究  

Research on Electric Field Uniformity on the Axis of Equal Sized Coaxial Circular Plate with Uniform Different Sign Charge

作　　者：周群益 钟铮 莫云飞 侯兆阳[4] Zhou Qunyi;Zhong Zheng;Mo Yunfei;Hou Zhaoyang(College of General Education,Guangzhou Institute of Science and Technology,Guangzhou,Guangdong 510540;The First Middle School of Ganzhou,Ganzhou,Jiangxi 341000;School of Electronic Information and Electrical Engineering,Changsha University,Changsha,Huhan 410022;School of Science,Chang′an University,Xi′an,Shannxi 710064)

机构地区：[1]广州理工学院通识教育学院,广东广州510540 [2]赣州市第一中学,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,陕西西安710064

出　　处：《物理通报》2022年第4期23-27,共5页Physics Bulletin

基　　金：广东省高校科研特色创新项目,项目编号:2020KTSCX209;国家自然科学基金资助项目,项目编号:12004053。

摘　　要：重新推导了均匀带电圆形薄板在轴线上的电势和电场强度公式,建立了均匀带等量异号电荷共轴圆板在轴线上的电势和场强公式.研究表明:均匀带等量异号电荷共轴圆板在轴线中心的场强最小,两板内表面的场强最大.引入均匀系数的概念,说明了两板之间的轴线上形成匀强电场的条件.The formulas for the electric potential and electric field strength on the axis of the parallel circular thin plate with uniform positive and negative charges are re-derived.Thereby,the formulas for the electric potential and electric field strength on the axis of the uniformly charged circular capacitor are established.Research shows that the field strength of the parallel circular plate with uniform positive and negative charges at the center of the axis is the smallest,while the field strength of the inner surfaces of the two plates is the largest.The concept of uniformity coefficient is introduced to illustrate the conditions for the formation of a uniform electric field on the axis between the two plates.

关 键 词：均匀带电 圆形薄板 电场强度 均匀系数 MATLAB 

分 类 号：O441.1[理学—电磁学]