Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes
American Journal of Electromagnetics and Applications
Volume 5, Issue 2, November 2017, Pages: 20-23
Received: Dec. 7, 2016;
Accepted: Jan. 16, 2017;
Published: Dec. 19, 2017
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Romualdo S. Silva, Department of Physics, Federal University of Sergipe, São Cristóvão, Brazil
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.
Romualdo S. Silva,
Force Generated by a Magnetic Field Applied on a Circular Conductive Turn Rotated in Two Cartesian Axes, American Journal of Electromagnetics and Applications.
Vol. 5, No. 2,
2017, pp. 20-23.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
J. D. Jackson. Classical Electrodynamics. John Wiley, New York, 1975, 2a. ed.
Goldstein, H., Poole, C., Safko, J., Classical Mechanics, (3rd Edition, New York, 2000).
Sakurai, J. J. (1994). Modern Quantum Mechanics. Addison Wesley.
Arnold, V. I., Mathematical Methods of Classical Mechanics, (2°ed., Springer-Verlag, New York, 1989).
Philip M Morse, Herman Feshbach, (New York: McGraw-Hill, 1953).
E. M. Purcell, Electricity and Magnetism, (2a ed., McGraw-Hill, 1985).
Griffiths, D. J., Eletrodinâmica, (3a ed Pearson Addison Wesley, 2011).
S. Mohammadi. Electro-Gravitational Effect. International Journal of Science, Technology and Society. Vol. 3, No. 4, 2015.
J. D. Jackson, Am. J. Phys. 67, 107 (1999).
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.
H. D. Young & R. A. Freedman, Física III: Eletromagnetismo, (12ª. ed., Pearson, São Paulo, Brasil, 2009).
H. Anton, C. Rorres, Elementary Linear Algebra: Applications Version, (John Wiley&Sons, 2000).