求解标量磁位的一则典型例题  

A Typical Example of the Scalar Magnetic Potential Solving

作　　者：朱峰[1] 林莉[1] 

机构地区：[1]西南交通大学电气工程学院,四川成都610031

出　　处：《电气电子教学学报》2015年第6期24-26,共3页Journal of Electrical and Electronic Education

摘　　要：标量磁位在求解磁感应强度的数值方法中具有广泛应用。本文给出一则采用标量磁位的拉普拉斯方程+边界条件方法求解空间场分布的典型例题,其物理思想是采用了极限概念将多连通区域转化为单连通区域。该研究不仅填补了现有教材空白,同时对学生提高运用数学分析问题的能力以及加深对标量磁位方法的理解均大有裨益。Scalar magnetic potential method has been widely applied in the numerical method on the solving of the magnetic induction intensity. In this paper, a typical example is proposed to solve the magnetic field by this method , which emphasizes on the concept of limit to convert the multiply connected region into a simply one. This study can not only enrich the existing teaching, but also help students develop and use mathematical techniques of general applicability.

关 键 词：恒定磁场 标量磁位 拉普拉斯方程 边界条件 

分 类 号：TM12[电气工程—电工理论与新技术]