On the dynamics of a rolling spherical charged shell


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




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


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


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How to Cite

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.