无限大均匀带电平面的电场强度计算方法研究

Research on the Electric Field Intensity from an Infinite Large Uniformly Charged Plane

无限大均匀带电平面的电场强度是《电磁学》课程中较为典型的场强问题,也是学生常常容易出错的一个问题.在真空或均匀电介质中,无限大均匀带电平面的电场强度处处相等,它跟场点到带电平面的距离远近无关,其计算方法不拘一格,贯穿电场和磁场整个体系.文中先后共讨论了三大类求解方法,实现了对无限大均匀带电平面外部电场强度的探究分析.

The electric field intensity of an infinite evenly charged plane is a typical field intensity problem in the course of Electromagnetics.It is also a problem which often causes students to make mistakes.In the vacuum or infinite evenly dielectric materials,the field intensity of its surface equals at all spots.And it has no relation with the distance from the field spots to the surface.The calculation methods are various and run through the entire electric and magnetic fields.In this paper,three major kinds of solving methods are discussed successively,and the external electric field intensity of an infinite evenly charged plane is realized and analyzed.