大学物理 ›› 2006, Vol. 25 ›› Issue (7): 6-6.

• 著者文摘 • 上一篇    下一篇

导体椭球的面电荷密度和曲率的关系

余陨金 卫亚东   

  1. 深圳大学理学院物理系,广东深圳518060
  • 出版日期:2006-07-25 发布日期:2006-07-20

The relationship between the surface charge density and curvature for an ellipsoidal conductor

  • Online:2006-07-25 Published:2006-07-20

摘要: 通过求解拉普拉斯方程,得到导体椭球的电势分布情况,进一步分析了导体表面的面电荷密度和曲率的关系,得到面电荷密度不是和曲率成正比,而是和曲率的1/3次方成正比的.

关键词: 椭球坐标, 面电荷密度, 电势, 曲率

Abstract: Using the Laplace' s equation, the potential distribution and the relationship of surface charge density to the curvature of an ellipsoidal conductor are obtained. It turns out that the surface charge density is not proportional to the curvature but to the cube root of the curvature.

Key words: ellipsoidal coordinates, surface charge density, potential, curvature

中图分类号: 

  • O441.1