平行平面场中磁矢位边界方程的推证

Boundary Conditions of Vector Magnetic Potential in Parallel Plane Field

磁矢位的边值问题是"电磁场"课程中关于恒定磁场的教学重点,也是学生普遍反映的难点。本文对平行平面场中磁矢位的边界方程,进行了证明,同时给出了该方法的应用;对比分析了利用磁矢位边界方程与安培环路定理两种方法的求解。本文解决了"电磁场"课程教学中的一个盲点,让学生建立起了平行平面场中磁矢位的边界方程与磁场强度和磁通密度边界条件的联系,对理解恒定磁场的本质大有裨益。

It is a difficult thing for students to use the method of Poisson equation and boundary conditions when solving the static magnetic field. Focused on the boundary conditions of vector magnetic potential in parallel plane field,this paper gives a method to prove this conditions and it＇s application in detail,then give a comparative analysis about this method and Ampere theorem. This paper has overcomed a blind spot in Electromagnetic course teaching. It is very useful for students to establish connections between vector magnetic potential equations and magnetic field strength in parallel plane field as well as understand the nature of static magnetic field.