解析函数在平面静电场中的应用性研究  

Applied Research of Analytic Function in the Planar Electrostatic Field

作　　者：张金锋[1] 刘建军[1] 袁五届[1] 朱孟正[1] 尹新国[1] 

机构地区：[1]淮北师范大学物理与电子信息学院,安徽淮北235000

出　　处：《吉林师范大学学报（自然科学版）》2013年第2期84-86,120,共4页Journal of Jilin Normal University:Natural Science Edition

基　　金：国家自然科学基金项目(11005047);淮北师范大学校级青年基金项目(2012xq36);安徽省高等学校质量工程项目(2011248);物理学(师范)特色专业建设点(800551)

摘　　要：解析函数与平面静电场存在着一一对应关系,解析函数常用来描述无源平面静电场的复势.本文首先推导了无限长均匀带电圆柱面的复势,并由此得到相应的电场线与等势线方程,最后讨论了解析函数在平面静电场中的应用.There was an one-to-one correspondence relationship between Analytic function and plane electrostatic field. And the Analytic function was used to describe the complex potential of passive planar electrostatic field by Analytic functions. In this paper, the complex potential of an Infinite uniform charged cylindrical surface was derived firstly. By this way, the equations of the electric field lines and the equipotential lines were also obtained. Finally, the application of Analytic function in the planar electrostatic field was discussed.

关 键 词：解析函数 无限长均匀带电圆柱面 平面静电场 

分 类 号：O441.1[理学—电磁学]