Magnetic Forces: Do They Really Work?

Veetil, Sidharth Chambocheri; Sim, Hui Xiang; Ricardo, Bernard

doi:10.1142/s2661339523500014

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2024

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“…This problem has been discussed frequently in the literature, see, e.g. [2][3][4][5][6][7] and on internet platforms. Recently it has been taken up again by J A Barandes [8,9], who considers an electromagnetic field coupled to a relativistic charged particle with spin and derives expressions for the force on this particle which include the magnetic field.…”

Section: General Considerationsmentioning

confidence: 99%

The magnetic field does not perform work—or does it?

Schmidt,

Bröcker

2024

Eur. J. Phys.

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We investigate the question discussed in the literature as to whether the magnetic field can perform work using two models that describe interacting magnetic dipoles. In the first model, the dipoles are realized by rigidly rotating charge clouds, whereas in the second model, one of the two dipoles is described by a real macroscopic spin density. The theoretical foundations of the second model are formulated in a recently published paper.We derive equations of motion and detailed energy balance for both models when the initial magnetic moments are parallel to the connecting line of the initial dipole positions. In this scenario the ``large" dipole remains stationary and generates external magnetic field in which the ``small" dipole is accelerated. The answer to the title question depends on the choice of criteria for ``work of the magnetic field".

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