Retarded potentials and radiation of a rotating charged rod

Authors

  • Aldrin Cervantes Contreras Universidad Autonoma de Querétaro
  • Ramirez-Olvera
  • Lucio López Cavazos Instituto tecnológico de Monterrey
  • Jose Alonso López Miranda
  • Adolfo Huet Soto

DOI:

https://doi.org/10.31349/RevMexFisE.20.010214

Keywords:

Classical Electrodynamics, Multipole expansion, Retarded Potentials, Electromagnetic radiation

Abstract

In this paper we determine the electromagnetic properties of a rotating charged rod, which rotates around the x-axis with an angular frequency that it’s not constant. As the charge is changing its position over time, the electromagnetic information reaches us with a certain time lag. Therefore, it is necessary to obtain the time-dependent(retarded) potentials at any point in space, for which we need multipolar expansion to determine the field at any point in space and do a Taylor expansion of the distance at which we want to measure the electromagnetic fields, in the static and induction zone. Then, we determine the Poynting vector in the corresponding radiation zone. Finally, we determine the radiated power, emphasizing the symmetries of the problem and showing how we can approach its solution considering these symmetries.

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Author Biographies

Aldrin Cervantes Contreras, Universidad Autonoma de Querétaro

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Ramirez-Olvera

Physical engineering student, from the Autonomous University of Querétaro

Lucio López Cavazos, Instituto tecnológico de Monterrey

Profesor, en el departamento de ciencias básicas

References

Jackson J D 1999 Classical Electrodynamics 3rd ed. (New York: John Wiley) Chap. 4 and 9.

Matt Majic Point charge representations of multipoles, Eur. J. Phys. 43 (2022) 035808.

Griffiths D J 2017 Introduction to Electrodynamics 4th ed. (Cambridge: Cambridge University Press) Chap. 3 and 11.

L. V. Lorenz, On the identity of the vibrations of light with electrical currents, Phil. Mag. Ser 3, 34, 287.

A. D. Boozer Retarded potentials and the radiative arrow of time, Eur. J. Phys. 28 (2007) 1131

Carl A. Kocher, Point-multipole expansions for charge and current distributions. Am. J. Phys. 46 (1978) 578-579.

Radiation of the electromagnetic field beyond the dipole approximation. Am. J. Phys. 86 (2018) 727.

A. Telles Quiñones, J.C. Valdiviezo-Navarro, A. Salazar-Garibay and A.A. López-Caloca The retarded potential of a non-homogeneous wave equation: introductory analysis through the Green functions. Rev. Mex. Fis. E 64 (2018) 26.

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Published

2023-01-13

How to Cite

[1]
A. Cervantes Contreras, M. Ramirez Olvera, L. López Cavazos, J. A. López Miranda, and A. Huet Soto, “Retarded potentials and radiation of a rotating charged rod”, Rev. Mex. Fis. E, vol. 20, no. 1 Jan-Jun, pp. 010214 1–, Jan. 2023.

Issue

Vol. 20 No. 1 Jan-Jun (2023): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2023 Aldrin Cervantes Contreras, Ramirez-Olvera, Lucio López Cavazos, Jose Alonso López Miranda, Adolfo Huet Soto

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.