大学物理 ›› 2019, Vol. 38 ›› Issue (7): 18-.doi: 10.16854 /j.cnki.1000-0712.180519

• 教学讨论 • 上一篇    下一篇

各向异性电介质中均匀带电矩形线框的空间电势和电场强度

邝向军,廖旭   

  1. 西南科技大学理学院,四川绵阳621010
  • 收稿日期:2018-06-15 修回日期:2018-12-14 出版日期:2019-07-20 发布日期:2019-08-27
  • 作者简介:邝向军( 1967—) ,男,湖南永州人,西南科技大学理学院教授,博士,主要从事凝聚态物理和大学物理
  • 基金资助:
    西南科技大学重点教改项目( 17xnzd14) 资助

The space potential and electric field strength for uniform charged rectangular frame in anisotropic dielectric

KUANG Xiang-jun,LIAO Xu   

  1. School of Science,Southwest University of Science and Technology,Mianyang,Sichuan 621002,China
  • Received:2018-06-15 Revised:2018-12-14 Online:2019-07-20 Published:2019-08-27

摘要: 从各向异性电介质中点电荷的电势表达式出发,采取分段计算叠加的方法,首先计算了各向异性电介质中均匀带电矩形线框的空间电势. 然后,利用电场强度与电势梯度的关系,导出了各向异性电介质中均匀带电矩形线框电场强度的空间分布表达式. 最后,对方形均匀带电线框和中心轴线上的特殊情形进行了简单说明.

关键词: 各向异性电介质, 均匀带电矩形线框, 电势, 电场强度

Abstract: Based on expression of potential for point charge in anisotropic dielectric and adopting the method of segment calculation superposition,the space potential and electric field strength for uniform charged rectangular frame in anisotropic dielectric are derived. Then,using the relationship between electric field strength and potential gradient,we get the space electric field strength expression for uniform charged rectangular frame in anisotropic dielectric. At last,the special cases of uniform charged square frame and central axis are also discussed simply.

Key words: anisotropic dielectric, uniform charged rectangular frame, potential, electric field strength