无限长载流薄板磁场的矢势与磁感应强度计算及可视化  

Calculation and Visualization of Vector Potential and Magnetic Induction Intensity of Magnetic Field of Infinitely Long Current carrying Thin plate

作　　者：周群益 莫云飞 周丽丽[3] 侯兆阳 Zhou Qunyi;Mo Yunfei;Zhou Lili;Hou Zhaoyang(Guangzhou Institude of Science and Technology,Guangzhou,Guangdong 510540;School of Electronic Information and Electrical 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)

机构地区：[1]广州理工学院,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]赣南医学院信息工程学院,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》2021年第1期28-32,共5页Physics Bulletin

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

摘　　要：推导了无限长均匀薄板电流磁场的矢势和磁感应强度的解析式,将公式无量纲化,计算矢势和磁感应强度,画出中垂面上和板平面上矢势和磁感应强度曲线,并与直线电流磁场的矢势和磁感应强度进行比较,画出矢势和磁感应强度两个分量以及合磁场和方向曲面,画出了二维磁感应线,显示了磁感应强度分布规律.The analytical solutions of the vector potential and magnetic induction intensity of the infinitely long current carrying thin plate are derived,the equations are transform into the dimensionless form,the vector potential and magnetic induction intensity are also calculated;the vector potential and magnetic induction intensity curves on the midperpendicular plane and on the plane of the plate are drawn,and compared it with that of the straight line current;and the two components of the vector potential and magnetic induction intensity as well as the combined magnetic field and the directional surface are also depicted,the two dimensional magnetic induction line are drawn,which reveals the distribution rule of magnetic induction intensity.

关 键 词：薄板电流 矢势 磁感应强度 可视化 

分 类 号：O441-4[理学—电磁学] G642[理学—物理]