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Alternate derivation of the Liénard–Wiechert fields of a point charge

 

作者: José A. Heras,  

 

期刊: American Journal of Physics  (AIP Available online 1996)
卷期: Volume 64, issue 4  

页码: 409-413

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18255

 

出版商: American Association of Physics Teachers

 

关键词: BIOT−SAVART LAW;CHARGED PARTICLES;ELECTRIC FIELDS;ELECTRODYNAMICS;ELECTROMAGNETISM;GREEN FUNCTION;MAGNETIC FIELDS;POINT CHARGE;41.

 

数据来源: AIP

 

摘要:

The Liénard–Wiechert fields for a point charge are derived from a suitable integral representation for the electric and magnetic fields. In this derivation one does not calculate derivatives of retarded functions. Retardation is introduced into the fields at the end of the calculations. The free‐space retarded Green function turns out to be an essential ingredient in this derivation. A heuristic argument is given for introducing this Green function. The derivation presented here might be used in undergraduate courses on electromagnetic theory.

 

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