Biot–Savart law/Bibliography: Difference between revisions

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* {{cite book  |author=J. D. Jackson |title=Classical Electrodynamics |edition= 3rd ed |publisher= John Wiley |year=1998 |isbn=9780471309321 |url=http://www.amazon.com/Classical-Electrodynamics-Third-David-Jackson/dp/047130932X/ref=sr_1_1?s=books&ie=UTF8&qid=1303411601&sr=1-1#reader_047130932X |chapter=Chapter 5: Magnetostatics, Faraday's law, quasi-static fields |pages=pp. 174 ''ff'' }}.
* {{cite book  |author=J. D. Jackson |title=Classical Electrodynamics |edition= 3rd ed |publisher= John Wiley |year=1998 |isbn=9780471309321 |url=http://www.amazon.com/Classical-Electrodynamics-Third-David-Jackson/dp/047130932X/ref=sr_1_1?s=books&ie=UTF8&qid=1303411601&sr=1-1#reader_047130932X |chapter=Chapter 5: Magnetostatics, Faraday's law, quasi-static fields |pages=pp. 174 ''ff'' }}.
*For accelerating point charges, Biot-Savart law applies only to non-relativistic velocities. See {{cite book |title=Electrodynamics: an introduction including quantum effects |author=Harald J. W. Müller-Kirsten |url=http://books.google.com/books?id=LAgKcg9WexEC&pg=PA223 |pages=p. 223 |chapter=§10.4 The fields '''E''', '''B''' of a moving point charge  |year=2004 |publisher=World Scientific |isbn=9812388087}}
*The Biot-Savart law can be derived as a special case from the more general [[Lienard-Wiechert potentials]], and applies to point charges only when they are moving at constant, non-relativistic velocities. See {{cite book |title=Electrodynamics: an introduction including quantum effects |author=Harald J. W. Müller-Kirsten |url=http://books.google.com/books?id=LAgKcg9WexEC&pg=PA223 |pages=p. 223 |chapter=§10.4 The fields '''E''', '''B''' of a moving point charge  |year=2004 |publisher=World Scientific |isbn=9812388087}} and {{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 application of 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}}

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