大学物理 ›› 2023, Vol. 42 ›› Issue (05): 38-.doi: 10.16854/j.cnki.1000-0712.220206

• 教学讨论 • 上一篇    下一篇

相对论感应电动势及其在参考系变换下的计算

李一杰,张成园,石薇,许广智   

  1. 辽宁大学 物理学院,辽宁 沈阳110036
  • 收稿日期:2022-04-20 修回日期:2022-07-08 出版日期:2023-05-31 发布日期:2023-05-31
  • 通讯作者: 许广智,E-mail: xuguangzhi@lnu.edu.cn
  • 作者简介:李一杰(1985—),女,满族,辽宁锦州人,辽宁大学物理学院副教授,博士,主要从事粒子物理唯象学研究工作.
  • 基金资助:
    国家自然科学基金(11705078);辽宁大学本科教学改革研究项目(JG2022BYLW004)资助

Relativistic induced electromotive force and calculation  for it under transformation of reference frame

LI Yi-jie, ZHANG Cheng-yuan, SHI Wei, XU Guang-zhi   

  1. Department of Physics, Liaoning University, Shenyang, Liaoning 110036, China
  • Received:2022-04-20 Revised:2022-07-08 Online:2023-05-31 Published:2023-05-31

摘要: 本文考察相对论情况下动生、感生电动势之间的相对性.分析不同参考系总感应电动势数值改变的原因.给出参考系变换下计算总感应电动势的普遍公式.计算了无线长直导线电流外运动矩形及圆形线圈的感应电动势.最后指出运动观者测出的总感应电动势等于静止观者不同时刻在导体不同位置测量电动势的总和.

关键词: 感应电动势, 参考系变换, 相对论

Abstract: The relativity between motional and induced electromotive forces is investigated. The reasons are analyzed for the variation in value of total induced electromotive force for different reference frames. A general formula is proposed for calculating the total induced electromotive force under transformation of reference frame. The total induced electromotive forces of rectangular and circular coils moving outside an infinity long wire carries direct current are calculated. The total induced electromotive force measured by the moving observer is equal to the sum of the electromotive forces measured at different positions of the conductor with different times by the stationary observer.


Key words:  induced electromotive force, transformation of reference frame, relativity theory