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

• 物理实验 • 上一篇    下一篇

关于涡旋电场中电压测量的讨论

曹江伟,王荟萃,赵凌艺   

  1. 兰州大学 物理科学与技术学院,甘肃 兰州730000
  • 收稿日期:2025-07-23 修回日期:2025-09-13 出版日期:2026-07-06 发布日期:2026-08-03
  • 作者简介:曹江伟(1979—),男,兰州大学物理科学与技术学院教授,主要从事电磁学教学科研工作,研究方向为磁性材料与自旋电子学
  • 基金资助:
    兰州大学本科专业课程教学团队项目(电磁学基础I课程教学团队);国家自然科学基金(11674142)资助

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

摘要: 涡旋电场是《电磁学》课程中的难点之一,尽管通过环路积分和旋度的计算可以准确描述它与静电场的不同之处,但相对枯燥的数学公式很难帮助学生理解其物理本质.Walter Lewin关于涡旋电场中电压测量的演示实验直观地给出了涡旋电场与静电场的不同,又给学生留下很多疑惑和思考.本文讨论了处于涡旋电场中的导体回路在平衡状态下的电场分布和电荷积累,回答了涡旋电场中测量得到的“电压”到底是什么的疑惑.这些分析有利于加深学生对于涡旋电场的概念及其与静电场不同之处的理解,同时也能培养学生透过现象看本质的科学精神.

关键词: 涡旋电场, 电压测量, 电场分布, 电荷积累

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