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

doi:10.16854 /j.cnki.1000-0712.2017.11.001

大学物理 >

2017 , Vol. 36 >Issue 11: 1 - 4

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.2017.11.001

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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

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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

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

收稿日期: 2017-05-15

修回日期: 2017-06-15

网络出版日期: 2017-11-24

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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

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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 date: 2017-05-15

Revised date: 2017-06-15

Online published: 2017-11-24

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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

本文引用格式

梁灿彬 , 曹周键 , 陈陟陶 . 电场线两大性质是静电场两大定理的形象表述[J]. 大学物理, 2017 , 36(11) : 1 -4 . DOI: 10.16854 /j.cnki.1000-0712.2017.11.001

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

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