大学物理 ›› 2025, Vol. 44 ›› Issue (3): 33-.doi: 10.16854/j.cnki.1000-0712.240407

• 教学讨论 • 上一篇    下一篇

稳恒磁场安培环路定理的一种证明方式

管从森,张光明,宿德志,赵月月   

  1. 1. 海军潜艇学院,山东 青岛266199;2. 海军航空大学,山东 烟台264001;3. 海军大连舰艇学院,辽宁 大连116013
  • 收稿日期:2024-09-07 修回日期:2024-09-28 出版日期:2025-05-09 发布日期:2025-05-29

A proof to the Ampereloop theorem of the stable magnetic field

GUAN Congsen1,ZHANG Guangming1,SU Dezhi2,ZHAO Yueyue3   

  1. 1. Naval Submarine Academy,Qingdao,Shandong 266199,China;
    2. Naval Aviation University,Yantai,Shandong 264001,China;
    3. Dalian Naval Academy,Dalian,Liaoning 116013,China
  • Received:2024-09-07 Revised:2024-09-28 Online:2025-05-09 Published:2025-05-29

摘要: 本文借助高等数学的斯托克斯定理、电流线的物理模型和场强叠加原理,给出了稳恒磁场安培环路定理的一种证明方式,证明过程不同于电磁学教材中使用立体角的证明方法,与电动力学教材中的证明过程也有所不同.与经典专业教材相比,本文的证明过程虽然比较繁琐,但为安培环路定理的证明提供了一种不同的做法,供广大师生参考.

关键词: 安培环路定理, 电流线, 斯托克斯定理

Abstract:  With the help of Stokes theorem in advanced mathematics,the physical model of current lines and the principle of superposition of field strength,we give a proof method of ampere loop theorem of stable magnetic field,which is different from the proof method of solid angle used in electromagnetism textbooks,and is also different from the proof process in electrodynamics textbooks. Compared with the classic professional textbooks,although the proof process in this paper is more cumbersome,it provides a different approach for the proof of the Ampere loop theorem,which is for the reference of teachers and students.

Key words:  Ampere loop theorem, current lines, Stokes theorem