Biot–Savart law/Bibliography: Difference between revisions
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*For ''point'' charges (an extreme idealization) moving with constant velocity, the Biot-Savart law always applies: {{cite book |title=Electromagnetic processes |url=http://books.google.com/books?id=wzZQs79XJBgC&pg=PA51 |chapter=§2.4.2: Charge in uniform motion |author=Robert Joseph Gould |isbn=0691124442 |publisher=Princeton University Press |year=2006}} | *For ''point'' charges (an extreme idealization) moving with constant velocity, the Biot-Savart law always applies: {{cite book |title=Electromagnetic processes |url=http://books.google.com/books?id=wzZQs79XJBgC&pg=PA51 |chapter=§2.4.2: Charge in uniform motion |author=Robert Joseph Gould |isbn=0691124442 |publisher=Princeton University Press |year=2006}} | ||
*The Biot-Savart law can be derived as a special case from the more general [[Lienard-Wiechert potentials]], and the application of that classical analysis to non-point charges, with an extensive history of such calculations, is found in {{cite book |title=Relativistic dynamics of a charged sphere: updating the Lorentz-Abraham model |author=Arthur D. Yaghjian |isbn=0387260218 |edition= Revised 1992 ed |url=http://books.google.com/books?id=bZkaJZ5htiQC&pg=PA4 |publisher=Gulf Professional Publishing}} | *The Biot-Savart law can be derived as a special case from the more general [[Lienard-Wiechert potentials]], and the application of that classical analysis to non-point charges, with an extensive history of such calculations, is found in {{cite book |title=Relativistic dynamics of a charged sphere: updating the Lorentz-Abraham model |author=Arthur D. Yaghjian |isbn=0387260218 |edition= Revised 1992 ed |url=http://books.google.com/books?id=bZkaJZ5htiQC&pg=PA4 |publisher=Gulf Professional Publishing}} | ||
*Further discussion of the historical problems with point particles is found in : {{cite book |title=Dynamics of charged particles and their radiation field |author=Herbert Spohn |url=http://books.google.com/books?id=lehyOJBove0C&pg=PA33 |isbn= 0521836972 |chapter=Chapter 3: Historical notes |publisher=Cambridge University Press |year=2004}} | |||
Revision as of 12:28, 23 April 2011
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- J. D. Jackson (1998). “Chapter 5: Magnetostatics, Faraday's law, quasi-static fields”, Classical Electrodynamics, 3rd ed. John Wiley, pp. 174 ff. ISBN 9780471309321. .
- For accelerating point charges, Biot-Savart law applies only to non-relativistic velocities. See Harald J. W. Müller-Kirsten (2004). “§10.4 The fields E, B of a moving point charge”, Electrodynamics: an introduction including quantum effects. World Scientific, p. 223. ISBN 9812388087.
- For point charges (an extreme idealization) moving with constant velocity, the Biot-Savart law always applies: Robert Joseph Gould (2006). “§2.4.2: Charge in uniform motion”, Electromagnetic processes. Princeton University Press. ISBN 0691124442.
- The Biot-Savart law can be derived as a special case from the more general Lienard-Wiechert potentials, and the application of that classical analysis to non-point charges, with an extensive history of such calculations, is found in Arthur D. Yaghjian. Relativistic dynamics of a charged sphere: updating the Lorentz-Abraham model, Revised 1992 ed. Gulf Professional Publishing. ISBN 0387260218.
- Further discussion of the historical problems with point particles is found in : Herbert Spohn (2004). “Chapter 3: Historical notes”, Dynamics of charged particles and their radiation field. Cambridge University Press. ISBN 0521836972.