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

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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

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