
Proceedings Paper
The charge-magnet paradoxes of classical electrodynamicsFormat | Member Price | Non-Member Price |
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Paper Abstract
A number of charge-magnet paradoxes have been discussed in the literature, beginning with
Shockley’s famous 1967 paper, where he introduced the notion of hidden momentum in electromagnetic
systems. We discuss all these paradoxes in a single, general context, showing that the conservation laws
of linear and angular momenta can be satisfied without the need for hidden entities, provided that the
Einstein-Laub laws of force and torque are used in place of the standard Lorentz law. Einstein and Laub
published their paper in 1908, but the simplicity of the conventional Lorentz law overshadowed the subtle
features of their formulation which, at first sight, appears somewhat complicated. However, that slight
complication turns out to lead to subsequent advantages in light of Shockley’s discovery of hidden
momentum, which occurred more than a decade after Einstein had passed away. In this paper, we show
how the Einstein-Laub formalism handles the underlying problems associated with certain paradoxes of
classical electrodynamics involving a static distribution of electric charges and a magnet whose
magnetization slowly fades away in time. The Einstein-Laub laws of electromagnetic force and torque
treat these paradoxes with elegance and without contradicting the existing body of knowledge, which has
been confirmed by more than one and a half century of theoretical and experimental investigations.
Paper Details
Date Published: 28 August 2014
PDF: 12 pages
Proc. SPIE 9167, Spintronics VII, 91670J (28 August 2014); doi: 10.1117/12.2060569
Published in SPIE Proceedings Vol. 9167:
Spintronics VII
Henri-Jean Drouhin; Jean-Eric Wegrowe; Manijeh Razeghi, Editor(s)
PDF: 12 pages
Proc. SPIE 9167, Spintronics VII, 91670J (28 August 2014); doi: 10.1117/12.2060569
Show Author Affiliations
Masud Mansuripur, College of Optical Sciences, The Univ. of Arizona (United States)
Published in SPIE Proceedings Vol. 9167:
Spintronics VII
Henri-Jean Drouhin; Jean-Eric Wegrowe; Manijeh Razeghi, Editor(s)
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