保角变换法在解角域静电场问题中的应用  

The Application of Conformal Mapping Method in Solving an Angular Space Conductor Electrostatics

作　　者：籍勇亮[1] 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：《山西师范大学学报（自然科学版）》2005年第4期49-52,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：重庆市教育委员会科学技术研究项目(20030806)

摘　　要：对导体平板构成的角域内具有线电荷密度的静电场进行了求解.主要利用保角变换法以及电象法和数学软件M athem atica5.0相结合,得到了任意夹角角域内的电势的表达式,并做出夹角为直角时的等势线簇图形.This paper deals with the static electricity field by conformal mapping for angular space inside an infinite linear charge be located with boundary made in conductor. Mainly use conformal mapping, otherwise electrical images and mathematic software package facility Mathematica 5. 0, the expression for electric potential inside an angular space are obtained and the equipotential line maps plotted when the angle is right-angle.

关 键 词：保角变换法 角域 等势线簇 电像法 

分 类 号：O441.1[理学—电磁学]