Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider two scenarios: First we drop an electric point-like charge with a chosen charge q in a nonuniform electrostatic field. We then seek for the criteria that in the presence of gravity the massive charge steadily oscillates. In the second scenario we drop a permanent magnet with a chosen magnetic dipole moment μ in a nonuniform magnetic field of a DC looping current. Similarly, we seek the criteria that in the presence of gravity the massive magnet steadily oscillates as well. In both cases the effective forces are nonlinear and the equations describing the motions are nonlinear analytically unsolvable differential equations. Utilizing Mathematica numeric scheme we solve these equations numerically. Plots of these solutions for selected parameters conducive to equal force couplings unveil the fundamental character differences of the oscillations. For comprehensive visual understanding we simulate the actual oscillations.

Original languageEnglish (US)
Title of host publicationProceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013
PublisherIEEE Computer Society
Pages46-52
Number of pages7
ISBN (Print)9780769550459
DOIs
StatePublished - Jan 1 2013
Event2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 - Ho Chi Minh City, Viet Nam
Duration: Jun 24 2013Jun 27 2013

Publication series

NameProceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013

Other

Other2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013
CountryViet Nam
CityHo Chi Minh City
Period6/24/136/27/13

Fingerprint

Gravitation
Magnetic moments
Permanent magnets
Magnets
Differential equations
Electric fields
Magnetic fields

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Science Applications

Cite this

Sarafian, H. (2013). Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole. In Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013 (pp. 46-52). [6681099] (Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013). IEEE Computer Society. https://doi.org/10.1109/ICCSA.2013.17
Sarafian, Haiduke. / Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole. Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013. IEEE Computer Society, 2013. pp. 46-52 (Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013).
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Sarafian, H 2013, Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole. in Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013., 6681099, Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013, IEEE Computer Society, pp. 46-52, 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013, Ho Chi Minh City, Viet Nam, 6/24/13. https://doi.org/10.1109/ICCSA.2013.17

Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole. / Sarafian, Haiduke.

Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013. IEEE Computer Society, 2013. p. 46-52 6681099 (Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Sarafian H. Comparison of nonlinear oscillations of an electric monopole vs. a magnetic dipole. In Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013. IEEE Computer Society. 2013. p. 46-52. 6681099. (Proceedings of the 2013 13th International Conference on Computational Science and Its Applications, ICCSA 2013). https://doi.org/10.1109/ICCSA.2013.17