静电场中不同边界问题的电势函数统一求解的实例  

An actual example of the uniform solution of potential function for thedifferent boundary problem in static electricity field

作　　者：胡先权[1] 

机构地区：[1]重庆师范大学物理学与信息技术学院,重庆400047

出　　处：《湖南理工学院学报（自然科学版）》2005年第1期38-41,50,共5页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：重庆市教育委员会科学技术研究项目 (NO :2 0 0 3 0 80 6)

摘　　要：采用保角映射法与分离变量法及计算技术工具软件Mathematica 4相结合 ,对偏心圆柱面带电导体和分离圆柱面带电导体的等势面的求解进行了统一的描述 ,严格地求出了电势函数和电力线函数 ,作出了相应的等势线簇图形和电力线簇图形 ,并且进行了必要的讨论。The uniform representation of the solution for equipotential surfaces of two parallel charged cylinder conductors with eccentric and separated axes has obtained. By means of combination of conformal mapping , separation of variables, and software package facility of Mathematica 5.0 , we have obtained the exact solution of the electrical potential functions and power line functions; plotted the relative equipotential line maps and power line maps; meanwhile, we have made the necessary discussion.

关 键 词：保角映射 拉普拉斯方程 精确解 等势线簇图形 电力线簇图形 

分 类 号：O441.1[理学—电磁学]