大学物理 ›› 2026, Vol. 45 ›› Issue (3): 31-.doi: 10.16854/j.cnki.1000-0712.250346

• 教学讨论 • 上一篇    下一篇

麦克斯韦应力法的拓展

骆超艺   

  1. 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
  • 收稿日期:2025-07-04 修回日期:2025-08-01 出版日期:2026-05-15 发布日期:2026-06-04
  • 通讯作者: 骆超艺,Email: cyluo@xmut.edu.cn
  • 作者简介: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.
  • 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

LUO Chaoyi   

  1. 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:2025-07-04 Revised:2025-08-01 Online:2026-05-15 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.


关键词: 电场力, 电场力矩, 电介质

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.



Key words: electric field force, electric field torque, dielectric