Generalization of the Biot--Savart law to Maxwell's equations using special relativity

Journal Article · Wed Jan 01 04:00:00 EST 1992 · American Journal of Physics; (United States)

DOI:https://doi.org/10.1119/1.17039· OSTI ID:5555390

Neuenschwander, D E; Turner, B N ^[1]

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1. Department of Physics, Southern Nazarene University, Bethany, Oklahoma 73008 (United States)

Maxwell's equations are obtained by generalizing the laws of magnetostatics, which follow from the Biot--Savart law and superposition, to be consistent with special relativity. The Lorentz force on a charged particle and its rate of energy change also follow by making Newton's second law for a particle in a magnetostatic field consistent with special relativity.

• OSTI ID: 5555390
• Journal Information: American Journal of Physics; (United States), Journal Name: American Journal of Physics; (United States) Vol. 60:1; ISSN AJPIA; ISSN 0002-9505
• Country of Publication: United States
• Language: English

Related Subjects

661310 -- Relativity & Gravitation-- (1992-)
662310* -- Weak & Electromagnetic Interactions of Leptons-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BIOT-SAVART LAW
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELECTROMAGNETISM
ELECTROSTATICS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
LORENTZ FORCE
MAGNETIC FIELDS
MAGNETISM
MAXWELL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
RELATIVITY THEORY
SPACE-TIME