On the dynamics of a rolling spherical charged shell

Authors

  • Aldrin Cervantes Contreras Universidad Autonoma de Querétaro
  • Abel Santillán Rodríguez Universidad Autónoma de Querétaro
  • Luis Gerardo Soria Silva Universidad Autónoma de Querétaro

DOI:

https://doi.org/10.31349/RevMexFisE.21.010210

Keywords:

Lagrange, Electrodynamics, Electric force, Self-inductance, poynting vector

Abstract

In this work, we investigate the behaviour of a charged spherical shell rolling on an inclined plane, in presence of a point charge located at the lowest part of the inclined plane. The shell generates two magnetic fields, one due to its rotation and another due to its translation, These magnetic fields affect the shell through self-inductance. On the other hand, the charge in the lowest part of the inclined plane interacts with the shell, and we find that under certain conditions the spherical shell rolls back and up the inclined plane due to the electric force. We perform a numerical analysis to study this behavior.

Author Biographies

Aldrin Cervantes Contreras, Universidad Autonoma de Querétaro

.

Abel Santillán Rodríguez, Universidad Autónoma de Querétaro

Facultad de Ingeniería 

Luis Gerardo Soria Silva, Universidad Autónoma de Querétaro

Facultad de ingeniería

References

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Published

2024-01-05

How to Cite

[1]
A. Cervantes Contreras, A. . Santillán Rodríguez, and L. G. Soria Silva, “On the dynamics of a rolling spherical charged shell”, Rev. Mex. Fis. E, vol. 21, no. 1 Jan-Jun, pp. 010210 1–, Jan. 2024.

Issue

Vol. 21 No. 1 Jan-Jun (2024): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2024 Aldrin Cervantes Contreras, Abel Santillán Rodríguez, Luis Gerardo Soria Silva

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.