Electrostatic energy for a circular charged configuration: discrete vs. dontinuum
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Keywords

Electromagnetism
Electrostatic potential energy
Circular symmetry

How to Cite

Aguilar-Loreto, O. ., Muñoz, A., & Ordaz-Mendoza, B. E. (2025). Electrostatic energy for a circular charged configuration: discrete vs. dontinuum. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 49(190), 30-43. https://doi.org/10.18257/raccefyn.2897

Abstract

The concept of electrostatic potential energy has served as a starting point for a deeper understanding of several models in electromagnetic theory. We use this concept looking for a connection between some of those models, in particular, we analyze the contribution of electrostatic potential energy for different configurations of electric charge with circular symmetry. We study models corresponding to a discrete set of point charges arranged in a polygonal figure, a uni-dimensional continuously charged ring and a continuously charged torus, considering the existing analogies between them. In addition, we contrast the situation between the discrete and continuum models.

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References

Antonov, V. (2003) Inequalities for electrostatic energy. Technical Physics, 48, 928–930. https://doi.org/10.1134/1.1593202

Besley, E. (2023) Recent developments in the methods and applications of electrostatic theory. Accounts of Chemical Research, 56(17), 2267–2277. https://doi.org/10.1021/acs.accounts.3c00068

Brinck, T., Borrfors, A. N. (2022) The importance of electrostatics and polarization for noncovalent interactions: Ionic hydrogen bonds vs ionic halogen bonds. Journal of molecular modeling, 9(28), 275. https://doi.org/10.1007/s00894-022-05189-6

Charyyev, A., Shikakhwa, M. S. (2018) Ring symmetry in electric potential calculation extended to discs and cylinders. European Journal of Physics, 39(6), 065204. https://doi.org/10.1088/1361-6404/aae357

Ciftja, O., Babineaux, A., Hafeez, N. (2009) The electrostatic potential of a uniformly charged ring. European Journal of Physics, 30(3), 623. https://doi.org/10.1088/0143-0807/30/3/019

Ciftja, O. (2023) Stored electrostatic energy of a uniformly charged annulus. Journal of

Electrostatics, 122, 103794. https://doi.org/https://doi.org/10.1016/j.elstat.2023.103794

Escalante, F. (2021) Electrostatic potential and electric field in the z axis of a non centered circular charged ring. European Journal of Physics, 42(6), 065703. https://doi.org/10.1088/1361-6404/ac221c

Feynman, R. P., Leighton, R. B., Sands, M. (1963) The feynman lectures on physics, vol. i: The new millennium edition: Mainly mechanics, radiation, and heat. Basic Books.

Good, R. H. (1999) Classical electromagnetism. Saunders College Publishing.

Greiner, W. (1998) Classical electrodynamics. Springer New York.

Griffiths, D. J. (1999) Introduction to electrodynamics. Pearson Education.

Hernandes, J. A., Assis, A. K. T. (2003) Electric potential for a resistive toroidal conductor carrying a steady azimuthal current. Physical Review E, 68, 046611. https://doi.org/10.1103/PhysRevE.68.046611

Hernandes, J. A., Assis, A. K. T. (2004) Surface charges and external electric field in a toroid carrying a steady current. Brazilian Journal of Physics, 34, 1738–1744. https://doi.org/10.1590/S0103-97332004000800041

Kittel, C., Knight,W. C., Ruderman, M. A. (1973) Berkeley physics course: Mechanics.McGraw-Hill.

Maleki, M., Vasudev, G., Rueda, L. (2013) The role of electrostatic energy in prediction of obligate protein-protein interactions. Proteome Science, 11((Suppl 1)). https://doi.org/10.1186/1477-5956-11-S1-S11

Tashayev, Y. N. (2019) Paraxial approximation of the electrostatic potential of a charged nonconducting torus. Journal of Physics: Conference Series, 1400(4), 044034. https://doi.org/10.1088/1742-6596/1400/4/044034

Wangsness, R. (1997) Campos electromagn´eticos. Limusa.

Wells, D. (1967) Schaum’s outline of lagrangian dynamics. McGraw-Hill.

Whittaker, E. T. (1917) A treatise on the analytical dynamics of particles and rigid bodies. Cambridge University Press.

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