Linear and angular momentum stored in a distribution of charges in a magnetic field. The other side of the story

Authors

  • Gerardo Francisco Torres del Castillo Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla http://orcid.org/0000-0002-9262-0252
  • Claudia Elizabeth Mendoza-Luna Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla

DOI:

https://doi.org/10.31349/RevMexFisE.22.010201

Keywords:

Linear momentum, angular momentum, electromagnetic field, symmetries

Abstract

The linear or the angular momentum stored in an arbitrary electric charge distribution in the presence of a magnetic field is defined by calculating the linear or the angular momentum transferred to the electric charge distribution by a time-dependent magnetic field, which is initially zero and after some time reaches the desired final value. The component of the transferred linear momentum along some axis depends only on the final magnetic field if and only if the magnetic field is invariant under translations along this axis. Similarly, the component of the transferred angular momentum along some axis depends only on the final magnetic field if and only if the magnetic field is invariant under rotations about this axis.

References

G.F. Torres del Castillo, The linear and the angular momentum stored in a distribution of charges in a magnetic field, Rev. Mex. Fís. 69 (2023) 050701, https://doi.org/10.31349/RevMexFis.69.050701

J.R. Reitz, F.J. Milford, and R.W. Christy, Foundations of Electromagnetic Theory, 4th ed. (Addison-Wesley, Reading, Mass., 1979). Chap. 12

D.J. Griffiths, Introduction to Electrodynamics, 5th ed. (Cambridge University Press, Cambridge, 2023), https://doi.org/10.1017/9781009397735

G.F. Torres del Castillo, On Feynman’s paradox, Rev. Mex. Fís. E 20 (2023) 020201, https://doi.org/10.31349/RevMexFisE.20.020201

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Published

2025-01-01

How to Cite

[1]
G. F. Torres del Castillo and C. E. Mendoza-Luna, “Linear and angular momentum stored in a distribution of charges in a magnetic field. The other side of the story”, Rev. Mex. Fis. E, vol. 22, no. 1 Jan-Jun, pp. 010201 1–, Jan. 2025.

Issue

Vol. 22 No. 1 Jan-Jun (2025): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2024 Gerardo Francisco Torres del Castillo, Claudia Elizabeth Mendoza-Luna

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