一般坐标系下散度公式推导  

Derivation of Divergence Formula Based on General Coordinate System

作　　者：林川[1] LIN Chuan(School of Electrical Engineering,Southwest Jiaotong University,Chengdu 611756,China)

机构地区：[1]西南交通大学电气工程学院,成都611756

出　　处：《电气电子教学学报》2024年第6期125-127,共3页Journal of Electrical and Electronic Education

基　　金：西南交通大学本科教育教学研究与改革项目(2103155)。

摘　　要：散度是电磁场理论教学中的重要内容,基于散度数学定义推导了一般坐标系下的散度公式,作为特例,推导出了直角坐标系、圆柱坐标系、球坐标系等三种常用坐标系下的散度公式。该推导方法简洁,易于学生掌握,对学生深刻理解散度的意义及应用三种常用坐标系下的散度公式求解电磁场问题具有实际意义。Divergence is an important content in the teaching of electromagnetic field theory.The divergence formula in the general coordinate system is derived based on its mathematical definition.As special cases,the divergence formulas in the three common coordinate systems,i.e.,rectangular coordinate system,cylindrical coordinate system and spherical coordinate system,are obtained.The derivation method is concise,and easy for the students to master.It is of practical value for the students to deeply understand the meaning of divergence and use the divergence formulas in the three common coordinate systems to solve the electromagnetic problems.

关 键 词：散度 坐标系 电磁场 矢量场 

分 类 号：TM12[电气工程—电工理论与新技术]