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7 September 2017 Nature of the electromagnetic force between classical magnetic dipoles
Masud Mansuripur
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Proceedings Volume 10357, Spintronics X; 103570R (2017) https://doi.org/10.1117/12.2273216
Event: SPIE Nanoscience + Engineering, 2017, San Diego, California, United States
Abstract
The Lorentz force law of classical electrodynamics states that the force 𝑭𝑭 exerted by the magnetic induction 𝑩𝑩 on a particle of charge π‘žπ‘ž moving with velocity 𝑽𝑽 is given by 𝑭𝑭 = π‘žπ‘žπ‘½π‘½ × π‘©π‘©. Since this force is orthogonal to the direction of motion, the magnetic field is said to be incapable of performing mechanical work. Yet there is no denying that a permanent magnet can readily perform mechanical work by pushing/pulling on another permanent magnet or by attracting pieces of magnetizable material such as scrap iron or iron filings. We explain this apparent contradiction by examining the magnetic Lorentz force acting on an Amperian current loop, which is the model for a magnetic dipole. We then extend the discussion by analyzing the Einstein-Laub model of magnetic dipoles in the presence of external magnetic fields.
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Masud Mansuripur "Nature of the electromagnetic force between classical magnetic dipoles", Proc. SPIE 10357, Spintronics X, 103570R (7 September 2017); https://doi.org/10.1117/12.2273216
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KEYWORDS
Magnetism
Electromagnetism
Electrodynamics
Nanostructures
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