This article presents a very detailed resolution of a non-trivial problem in Electromagnetic Theory. The problem basically consists of a circular conducting loop of radius R, which has a current I, and is located with its center at the origin of the Cartesian coordinate system. It is rotated with respect to the normal to its plane with angles of θ0 and φ0 in spherical coordinates, in addition, there is an applied External Magnetic Field. The forces generated by the magnetic field in all directions were calculated without approximations, where in the z direction the force is zero, as expected.
| Published in | American Journal of Electromagnetics and Applications (Volume 5, Issue 2) |
| DOI | 10.11648/j.ajea.20170502.12 |
| Page(s) | 20-23 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Magnetic Field, Circular Loop, Rotation, Force
| [1] | J. D. Jackson. Classical Electrodynamics. John Wiley, New York, 1975, 2a. ed. |
| [2] | Goldstein, H., Poole, C., Safko, J., Classical Mechanics, (3rd Edition, New York, 2000). |
| [3] | Sakurai, J. J. (1994). Modern Quantum Mechanics. Addison Wesley. |
| [4] | Arnold, V. I., Mathematical Methods of Classical Mechanics, (2°ed., Springer-Verlag, New York, 1989). |
| [5] | Philip M Morse, Herman Feshbach, (New York: McGraw-Hill, 1953). |
| [6] | E. M. Purcell, Electricity and Magnetism, (2a ed., McGraw-Hill, 1985). |
| [7] | Griffiths, D. J., Eletrodinâmica, (3a ed Pearson Addison Wesley, 2011). |
| [8] | S. Mohammadi. Electro-Gravitational Effect. International Journal of Science, Technology and Society. Vol. 3, No. 4, 2015. |
| [9] | J. D. Jackson, Am. J. Phys. 67, 107 (1999). |
| [10] | S. D. Deines, Functional Basic Units of Physics and Reference Frames That Preserve Maxwell’s Equations. International Journal of Applied Mathematics and Theoretical Physics. Vol. 2, No. 4, 2016. |
| [11] | H. D. Young & R. A. Freedman, Física III: Eletromagnetismo, (12ª. ed., Pearson, São Paulo, Brasil, 2009). |
| [12] | H. Anton, C. Rorres, Elementary Linear Algebra: Applications Version, (John Wiley&Sons, 2000). |
APA Style
Romualdo S. Silva. (2017). Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes. American Journal of Electromagnetics and Applications, 5(2), 20-23. https://doi.org/10.11648/j.ajea.20170502.12
ACS Style
Romualdo S. Silva. Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes. Am. J. Electromagn. Appl. 2017, 5(2), 20-23. doi: 10.11648/j.ajea.20170502.12
AMA Style
Romualdo S. Silva. Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes. Am J Electromagn Appl. 2017;5(2):20-23. doi: 10.11648/j.ajea.20170502.12
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Download@article{10.11648/j.ajea.20170502.12,
author = {Romualdo S. Silva},
title = {Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes},
journal = {American Journal of Electromagnetics and Applications},
volume = {5},
number = {2},
pages = {20-23},
doi = {10.11648/j.ajea.20170502.12},
url = {https://doi.org/10.11648/j.ajea.20170502.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajea.20170502.12},
abstract = {This article presents a very detailed resolution of a non-trivial problem in Electromagnetic Theory. The problem basically consists of a circular conducting loop of radius R, which has a current I, and is located with its center at the origin of the Cartesian coordinate system. It is rotated with respect to the normal to its plane with angles of θ0 and φ0 in spherical coordinates, in addition, there is an applied External Magnetic Field. The forces generated by the magnetic field in all directions were calculated without approximations, where in the z direction the force is zero, as expected.},
year = {2017}
}
TY - JOUR T1 - Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes AU - Romualdo S. Silva Y1 - 2017/12/19 PY - 2017 N1 - https://doi.org/10.11648/j.ajea.20170502.12 DO - 10.11648/j.ajea.20170502.12 T2 - American Journal of Electromagnetics and Applications JF - American Journal of Electromagnetics and Applications JO - American Journal of Electromagnetics and Applications SP - 20 EP - 23 PB - Science Publishing Group SN - 2376-5984 UR - https://doi.org/10.11648/j.ajea.20170502.12 AB - This article presents a very detailed resolution of a non-trivial problem in Electromagnetic Theory. The problem basically consists of a circular conducting loop of radius R, which has a current I, and is located with its center at the origin of the Cartesian coordinate system. It is rotated with respect to the normal to its plane with angles of θ0 and φ0 in spherical coordinates, in addition, there is an applied External Magnetic Field. The forces generated by the magnetic field in all directions were calculated without approximations, where in the z direction the force is zero, as expected. VL - 5 IS - 2 ER -
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