Sunday, May 16, 2010

Relativistic electromagnetism

Relativistic electromagnetism is a modern teaching strategy for developing electromagnetic field theory from Coulomb’s law and Lorentz transformations. Though Coulomb’s law expresses action at a distance, it is an easily understood electric force principle. The more sophisticated view of electromagnetism expressed by electromagnetic fields in spacetime can be approached by applying spacetime symmetries. In certain special configurations it is possible to exhibit magnetic effects due to disparity of charge density in various simultaneous hyperplanes. This approach to physics education and the education and training of electrical and electronics engineers was pioneered by Edward M. Purcell (1965), Jack R. Tessman (1966), W.G.V. Rosser (1968), Anthony French (1968), and Dale R. Corson & Paul Lorrain (1970). This approach provides some preparation for magnetic forces involved in the Biot-Savart Law, Ampère's law, and Maxwell's equations.

Most of Purcell's explanation is based on using the Lorentz contraction factor:

 \sqrt{1 - v^2/c^2}

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