Time‐dependent generalizations of the Biot–Savart and Coulomb laws
作者:
David J. Griffiths,
Mark A. Heald,
期刊:
American Journal of Physics
(AIP Available online 1991)
卷期:
Volume 59,
issue 2
页码: 111-117
ISSN:0002-9505
年代: 1991
DOI:10.1119/1.16589
出版商: American Association of Physics Teachers
关键词: TIME DEPENDENCE;COULOMB FIELD;BIOT−SAVART LAW;POINT CHARGE;ELECTRIC CURRENTS;MAGNETIC FIELDS;MAGNETIC FIELDS
数据来源: AIP
摘要:
Strictly, Coulomb’s law and the Biot–Savart law determine the electric and magnetic fields for static sources only. Time‐dependent generalizations of these two laws, introduced by Jefimenko, are used here to explore the applicability of Coulomb and Biot–Savart outside the static domain. The fact that Biot–Savart holds for some classes of time‐dependent currents has led to much confusion in the literature, which this paper endeavors to dispel. To illustrate Jefimenko’s equations, the standard Liénard–Wiechert fields of a point charge are derived.
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