摘要
将导体球放到匀强电场中,研究电势和电场各分量的分布规律,是一个典型的电动力学问题.详细推导了极坐标和直角坐标系中的电势公式,求出了电场强度的表达式,推导电场线的方程,将公式无量纲化,应用MATLAB画出了电场强度的分布曲线和电场线以及等势线,充分反映了电场分布的规律.附录中列出了两个相关程序,可供读者参考.
The distribution law of the electric potential and the components of the electric field for the conductor sphere in a uniform electric field is a typical electrodynamic problem.In this paper,the electric potential formulas in polar coordinates and rectangular coordinates have been derived,the formula of electric field strength have been calculated,the equation of electric field lines have been deduced,and the formulas have been dimensionlesslized,meanwhile,the curves of electric field strength,electric field lines as well as equipotential lines have been drawn by using MATLAB,Which fully reflects the law of electric field distribution.Two programs are listed in the appendix of this paper for readers′reference.
作者
周群益
莫云飞
周丽丽
侯兆阳
Zhou Qunyi;Mo Yunfei;Zhou Lili;Hou Zhaoyang(Guangzhou Institute of Science and Technology,Guangzhou,Guangdong 510540;School of Electronic and Communication Engineering,Changsha University,Changsha,Hunan 410022;Department of Information Engineering,Gannan Medical University,Ganzhou,Jiangxi 341000;School of Science,Chang′an University,Xi′an,Shaanxi 710064)
出处
《物理通报》
CAS
2022年第2期18-24,共7页
Physics Bulletin
基金
广东省高校科研特色创新项目,项目编号:2020KTSCX209
国家自科基金资助项目,项目编号:12004053。
关键词
电场
曲面
电场线
等势线
MATLAB程序
electric field
curved surface
electric field lines
equipotential line
MATLAB program
