环电流磁场的数值积分法与解析解的比较和可视化  

Comparing analytic solution of the magnetic field of ring current with its numerical integration and their visualization

作　　者：周群益 莫云飞 侯兆阳 周丽丽[4] ZHOU Qun-yi;MO Yun-fei;HOU Zhao-yang;ZHOU Li-li(College of Tianhe,Guangdong Polytechnic Normal University,Guangzhou,Guangdong 510540,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;Department of Information Engineering,Gannan Medical University,Ganzhou,Jiangxi 341000,China)

机构地区：[1]广东技术师范大学天河学院,广东广州510540 [2]长沙学院电子信息与电气工程学院,湖南长沙410022 [3]长安大学理学院应用物理系,陕西西安710064 [4]赣南医学院信息工程学院,江西赣州341000

出　　处：《大学物理》2020年第8期3-6,30,共5页College Physics

基　　金：国家自然科学基金(11747123);湖南省自然科学基金(2018JJ3560);长沙市科技计划项目(kc1809022);湖南省教育厅科学研究项目(19C0176)资助。

摘　　要：本文推导了环电流产生的磁感应强度在直角坐标系中的积分表达式,将公式无量纲化,用数值积分计算场强,画出磁感应强度两个分量以及合场强和方向曲面,画出磁感应线.本文提出了磁感应强度在直角坐标系中的解析式,通过作图验证了公式的正确性.The integral formulas of magnetic field of ring current are derived in the dimensionless forms.The magnetic field is calculated by the numerical integration,and its spatial distribution is visualized by means of MATLAB.The analytic solutions of the magnetic field of ring current are also derived,and its validity is verified according to their graph.

关 键 词：环电流 磁感应强度 数值积分 无量纲作图 

分 类 号：TN011[电子电信—物理电子学]