College Physics ›› 2026, Vol. 45 ›› Issue (4): 58-.doi: 10.16854/j.cnki.1000-0712.250382

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Discussion on voltage measurement in vortex electric field

CAO Jiangwei, WANG Hui-cui, ZHAO Lingyi   

  1. School of Physical Science and Technology, Lanzhou University, Lanzhou, Gansu 730000, China
  • Received:2025-07-23 Revised:2025-09-13 Online:2026-07-06 Published:2026-08-03

Abstract: Vortex electric field (VEF) is one of the difficulties in the course of “Electromagnetics”. Although the loop integration and curl can accurately describe its differences from the electro-static fields (ESF), the unglamorous mathematical formulas cannot help students to understand their physical essence. Walter Lewins demonstration experiment on voltage measurement in a VEF intuitively presents the difference between VEF and ESF, but it also brings many doubts to students. This article discusses the distribution of electric field and charge accumulation in a conductor circuit in a VEF under equilibrium, and answers the question of what the “voltage” measured in a VEF is. These analyses are beneficial for deepening students understanding of the concept of VEF and its differences from ESF, while it also cultivates the scientific spirit of seeking the essence through phenomena.


Key words: vortex electric field, voltage measurement, electric field distribution, charge accumulation