大学物理 ›› 2017, Vol. 36 ›› Issue (11): 1-4.doi: 10.16854 /j.cnki.1000-0712.2017.11.001

• 教学研究 •    下一篇

电场线两大性质是静电场两大定理的形象表述

梁灿彬,曹周键,陈陟陶   

  1. 1. 北京师范大学物理学系,北京100875; 2. 中科院数学与系统科学院应用数学所,北京100190; 3. 德国埃尔朗根-纽伦堡大学
  • 收稿日期:2017-05-15 修回日期:2017-06-15 出版日期:2017-11-20 发布日期:2017-11-24
  • 作者简介:梁灿彬,( 1938—) 男,广东中山人,北京师范大学物理系教授,博导,主要从事电磁学、微分几何、广

The two properties of the field lines are the expression of the two theorems of electrostatics

LIANG Can-bin1,CAO Zou-jian2,CHEN Zhi-tao3   

  1. 1. Department of Physics,Beijing Normal University,Beijing 100875,China; 2. Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190 China; 3. Postgraduate Student at University of Erlangen-Nuremberg in Germany
  • Received:2017-05-15 Revised:2017-06-15 Online:2017-11-20 Published:2017-11-24

摘要: 谁都知道电场线起于正电荷,止于负电荷,在无电荷处不中断.我们称此为电场线的性质1.你知道这是高斯定理的逻辑结果吗?你知道“没有高斯定理就没有性质1吗”?可是有人喜欢用“电场线在无电荷处不中断”这一性质轻易地证明高斯定理,这就犯了因果倒置的逻辑错误.

关键词: 电场线, 附加规定, 性质1

Abstract: It is well known that field lines should start only at plus charges and stop at minus charges. This conclusion is referred to as property 1 of field lines. Do you know that this property is the logical result of Gauss' theorem? A few textbooks thus make a logical error by“proving”Gauss' theorem using this property.

Key words: field line, additional rule, property 1