带电圆柱位于接地导体平面附近静电场描述  

Description of Static Electricity Field upon Condition that a Charged Cylinder Conductor is Nearby the Conductor Plank Interfacing with Earth

作　　者：杨英[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：《重庆师范大学学报（自然科学版）》2005年第4期33-35,共3页Journal of Chongqing Normal University:Natural Science

基　　金：重庆市教育委员会科学技术研究项目(NO.20030806)

摘　　要：根据数学物理理论,对带电导体圆柱位于接地导体平面附近时的静电场进行了统一的研究。采用镜象法与保角映射法相结合,严格地求出了等势线函数和电场线函数,作出了相应的等势线簇图形和电场线簇图形,并进行了必要的讨论。Based on the mathematical physics theory, this paper unitedly deals with the static electricity field upon condition that charged conductor of cylinder nearby the conductor plank interfacing with earth. By means of combination of conformal mapping and electrical mirror-images, we have obtained the exact solution of the electrical potential functions and power line functions and plotted the relative equipotential line maps and power line maps, meanwhile, we have made the necessary discussion about the ilems aboue.

关 键 词：拉普拉斯方程 保角映射 镜象法 等势线簇 电场线簇 

分 类 号：O441.1[理学—电磁学]