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

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.