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Time‐dependent, generalized Coulomb and Biot–Savart laws: A derivation based on Fourier transforms

 

作者: U. Bellotti,   M. Bornatici,  

 

期刊: American Journal of Physics  （AIP Available online 1996）
卷期: Volume 64, issue 5  

页码: 568-570

 

ISSN:0002-9505

 

年代: 1996

 

DOI:10.1119/1.18265

 

出版商: American Association of Physics Teachers

 

关键词: BIOT−SAVART LAW;COULOMB FIELD;CURRENT DENSITY;CHARGE DENSITY;FOURIER TRANSFORMATION;WAVE EQUATIONS;TIME DEPENDENCE;ELECTROMAGNETIC FIELDS;DISPERSION RELATIONS;41.

 

数据来源: AIP

 

摘要:

On the basis of the solution of the Fourier transformed inhomogeneous wave equation expressed in terms of both the charge and current density source, two basic field equations are derived, from which the time‐dependent generalized Coulomb and Biot–Savart laws are readily obtained. For the specific case of an arbitrarily moving point charge, the use of the Fourier‐transform approach makes the derivation of two intermediate field equations, required to get the fields in both the Heaviside–Feynman and Liénard–Wiechert form, straightforward.

 

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