教学讨论

麦克斯韦应力法的拓展

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  • 厦门理工学院 光电与通信工程学院 福建省光电技术与器件重点实验室,福建 厦门361024
骆超艺(1980—),男,福建厦门人,厦门理工学院基础教学部讲师,硕士,主要从事电工与电子技术的教学和电磁场理论研究工作.

收稿日期: 2025-07-04

  修回日期: 2025-08-01

  网络出版日期: 2026-06-04

基金资助

福建省中青年教师教育科研项目(JAT190678)资助


The extension of Maxwell stress method

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  • Fujian Key Laboratory of Optoelectronic Technology and Devices, 
    School of Opto-electronic and Communication Engineering, Xiamen University of Technology, 
    Xiamen, Fujian 361024, China

Received date: 2025-07-04

  Revised date: 2025-08-01

  Online published: 2026-06-04

摘要

根据静电场的基本方程,运用矢量分析的方法,推导作用于体电荷与面电荷的电场力公式,得到混合媒质、导体和线性均匀电介质所受的电场力,验证了法拉第观点的正确性,并证明体电荷所受的总电场力矩与等效面积力的力矩相等,进一步拓展了麦克斯韦应力法.将公式应用于同心球电容器内媒质的受力分析,克服了虚位移法求解困难.用类似的方法可得出作用于媒质的磁场力.


本文引用格式

骆超艺 . 麦克斯韦应力法的拓展[J]. 大学物理, 2026 , 45(3) : 31 . DOI: 10.16854/j.cnki.1000-0712.250346

Abstract

Based on the fundamental equations of electrostatic fields and by using vector analysis methods, the formulas for the electric field forces acting on volume charges and surface charges are derived. The electric field forces experienced by mixed media, conductors, and linear uniform dielectrics are obtained, verifying the correctness of Faradays viewpoint and proving that the total electric field torque on a volume charge is equal to the torque of the equivalent area force, further expanding Maxwells stress method. The formulas are applied to the force analysis of the medium in a concentric spherical capacitor, overcoming the difficulty of solving by the virtual displacement method. The magnetic force acting on the medium can be obtained in a similar way.



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