2012-10-24
Torque on a Moving Electric/Magnetic Dipole
By
Progress In Electromagnetics Research B, Vol. 45, 83-99, 2012
Abstract
We derive an expression for the torque exerted on an electric/magnetic dipole moving in an electromagnetic field, which contains two new velocity-dependent terms that to our knowledge were not reported before. A physical meaning of various torque components is discussed in terms of Lorentz force law and hidden momentum contribution.
Citation
Alexander L. Kholmetskii, Oleg V. Missevitch, and Tolga Yarman, "Torque on a Moving Electric/Magnetic Dipole," Progress In Electromagnetics Research B, Vol. 45, 83-99, 2012.
doi:10.2528/PIERB12082105
References

1. Bargmann, V., L. Michel, and V. L. Telegdi, "Precession of the polarization of particles, moving in a homogeneous electromagnetic field," Phys. Rev. Lett., Vol. 2, 435, 1959.
doi:10.1103/PhysRevLett.2.435        Google Scholar

2. Thomas, L. H., "The motion of the spinning electron," Nature, Vol. 117, 514, London, 1926.
doi:10.1038/117514a0        Google Scholar

3. Jackson, J. D., Classical Electrodynamics, 3rd Ed., Wiley, New York, 1998.

4. Jackson, J. D., "Torque or no torque? Simple charged particle motion observed in different inertial frames," Am. J. Phys., Vol. 72, 1484, 2004.
doi:10.1119/1.1783902        Google Scholar

5. Verstein, J. E., "On the electromagnetic force on a moving dipole," Eur. J. Phys., Vol. 18, 113, 1997.
doi:10.1088/0143-0807/18/2/011        Google Scholar

6. Panofsky, W. K. H. and M. Phillips, "Classical Electricity and Magnetism," Wiley, New York, 1962.        Google Scholar

7. Feynman, R. P., R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Vol. 2, Addison-Wesley, Reading, MA, 1963.

8. Landau, L. D. and E. M. Lifshitz, The Classical Theory of Fields, Addison-Wesley, Cambridge, 1951.

9. Bedhold, D. and P. Krumm, "On the origin of magnetic dynamics," Am. J. Phys., Vol. 54, 1036, 1989.        Google Scholar

10. Namias, V., "Electrodynamics of moving dipoles: The case of missing torque," Am. J. Phys., Vol. 57, 171, 1989.
doi:10.1119/1.16117        Google Scholar

11. Vaidman, L., "Torque and force on a magnetic dipole," Am. J. Phys., Vol. 58, 978, 1990.
doi:10.1119/1.16260        Google Scholar

12. Shockley, W. and R. P. James, "Try simplest cases' discovery of `hidden momentum' forces on `magnetic currents'," Phys. Rev. Lett., Vol. 18, 876, 1967.
doi:10.1103/PhysRevLett.18.876        Google Scholar

13. Aharonov, Y., P. Pearle, and L. Vaidman, "Comment on `Proposed Aharonov-Casher effect: Another example of an Aharonov-Bohm effect arising from a classical lag'," Phys. Rev., Vol. A37, 4052, 1988.        Google Scholar

14. Hnizdo, V., "Comment on `Torque and force on a magnetic dipole,' by L. Vaidman," Am. J. Phys., Vol. 60, 279, 1992.
doi:10.1119/1.16912        Google Scholar

15. Kholmetskii, A. L., O. V. Missevitch, and T. Yarman, "Electromagnetic force on a moving dipole," Eur. J. Phys., Vol. 32, 873, 2011.
doi:10.1088/0143-0807/32/4/003        Google Scholar

16. Barut, A. O., Electrodynamics and Classical Theory of Fields & Particles, Dover, New York, 1980.

. Sommerfeld, A., Electrodynamics, Academic, New York , 1952.

18. Mansuripur, M., "Trouble with the Lorentz law of force: Incompatibility with special relativity," Phys. Rev. Lett., Vol. 108, 193901, 2012.
doi:10.1103/PhysRevLett.108.193901        Google Scholar

19. Einstein, A. and J. Laub, "Über die elektromagnetischen Grundgleichungen für bewegte Körper," Ann. Phys., Vol. 331, 532, Leipzig, 1908.
doi:10.1002/andp.19083310806        Google Scholar

20. Einstein, A. and J. Laub, "Zur Elektrodynamik bewegter Körper," Ann. Phys., Vol. 331, 541, Leipzig, 1908.
doi:10.1002/andp.19083310807        Google Scholar