大学物理 ›› 2025, Vol. 44 ›› Issue (10): 14-.doi: 10.16854/j.cnki.1000-0712.250105

• 教学讨论 • 上一篇    下一篇

关于电位移矢量D与极化电荷关系的进一步讨论

宋立涛,何  杰 ,王杰芳   

  1. 1. 郑州大学 物理学院、中原之光实验室,河南 郑州450001;2. 河南工业大学 物理学院,河南 郑州450001 
  • 收稿日期:2025-03-04 修回日期:2025-03-19 出版日期:2025-12-20 发布日期:2025-12-27
  • 作者简介:宋立涛(1978—),男,河北保定人,郑州大学物理学院讲师,博士,主要从事电磁学和大学物理教学工作.
  • 基金资助:
    郑州大学数智化一流课程(2024ZZUYLKC017),郑州大学教改项目(2024ZZUJGXM053),河南工业大学智慧课程(2024zhkc-65)资助

Further discussion on the relation between the electric displacement  vector D and polarization charges

SONG Li-tao1, HE Jie2, WANG Jie-fang1   

  1. 1. School of Physics and Laboratory of Zhongyuan Light, Zhengzhou university, Zhengzhou 450001, China; 
    2. School of Physics, Henan University of Technology, Zhengzhou 450001, China
  • Received:2025-03-04 Revised:2025-03-19 Online:2025-12-20 Published:2025-12-27

摘要: 在电磁学教学中经常被问到“电位移矢量D是否与极化电荷有关的问题”.本文基于以往文献的观点和论据,对电位移矢量D与极化电荷的关系进行了进一步的讨论.结果表明由于自由电荷和极化电荷的分布之间存在制约关系,笼统的说电位移矢量D和极化电荷有关和无关都是不确切的;以往文献中给出的“D与极化电荷无关的条件”,改称为“极化电荷的分布不影响原来自由电荷分布的条件”会更确切些.

关键词: 电磁学, 高斯定理, 电位移矢量, 极化电荷

Abstract: In the teaching of electromagnetism, it is often asked whether the electric displacement vector D is related to the polarization charge. In this paper, the relation between the electric displacement vector D and the polarization charge is further discussed based on the viewpoints and arguments presented in previous literatures. The results demonstrate that due to the constraint relationship between free charges and polarization charges, it is inaccurate to simplistically state that the electric displacement vector D is either related or unrelated to polarization charges. The “conditions under which D is independent of polarization charges” proposed in previous literature should be more appropriately termed as “conditions under which the distribution of polarization charges does not affect the original distribution of free charges”.



Key words:  electromagnetism, Gausss Law, electric displacement vector, polarization charges