教学讨论

运动点电荷的感知电量与Lienard-Wiechert势

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  • 山东大学 空间科学与技术学院,山东威海264209
李波(1976—),男,山东临清人,山东大学空间科学与技术学院教授,博士,主要从事太阳大气动力学理论与数值模拟研究.
李波,E-mail: bbl@sdu.edu.cn

收稿日期: 2025-06-30

  修回日期: 2025-10-03

  网络出版日期: 2026-07-11

基金资助

国家自然科学基金(12373055)、山东大学(威海)本科教学研究与教学改革项目(Y2024028)资助

Apparent charge of a moving point charge and the Lienard-Wiechert potential

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  • School of Space Science and Technology, Shandong University, Weihai, Shandong 264209, China

Received date: 2025-06-30

  Revised date: 2025-10-03

  Online published: 2026-07-11

摘要

连续电荷分布的推迟势与运动点电荷的Lienard-Wiechert势是大学《电动力学》教学的重点也是难点.本文构造了初等数学可解的连续分布实例,绘制并分析了给定时空坐标的观测者所感知的电荷分布及电量,以协助理解Griffiths所著经典教科书中由推迟势公式导出Lienard-Wiechert势的半直观方式.本文有助于澄清感知电量与相对论尺缩效应无关、形象化电磁相互作用传递速度的有限性这一基本认知、深化经典电动力学中点电荷这一基本概念的理解.

本文引用格式

李波, 于惠 . 运动点电荷的感知电量与Lienard-Wiechert势[J]. 大学物理, 2026 , 45(4) : 34 . DOI: 10.16854/j.cnki.1000-0712.250338

Abstract

The retarded potential of a continuous charge distribution and the Lienard-Wiechert potential of a moving point charge are both key and challenging topics in undergraduate electrodynamics courses. This study constructs examples of continuous charge distributions analytically solvable with elementary mathematics, and presents graphical analyses of the charge distribution and total charge perceived by an observer. These examples are intended to aid in understanding the semi-intuitive derivation of the Lienard–Wiechert potential as presented in Griffiths classic textbook. This work helps clarify that the perceived charge is unrelated to relativistic length contraction, provides an intuitive picture of the finite speed of electromagnetic interaction transmission, and deepens the understanding of point charges in classical electrodynamics. 


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