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

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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

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