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Electromagnetostatic Charges and Fields in a Rotating Conducting Sphere

By Dragan Redžić
Progress In Electromagnetics Research, Vol. 110, 383-401, 2010


Charges and fields in a rotating non-magnetic conducting sphere under stationary conditions are investigated by using Minkowski's electrodynamics of moving media and the Lorentz force equation, taking into account the electric permittivity of the sphere. Starting from the assumption that the magnetic field inside the sphere is constant, exact solutions of the corresponding field equations are obtained in a first-order theory. However, it is found that there is a range of values of the sphere's net charge for which the physical interpretation of the results is difficult within a continuum model. Outside that range, our solution to the classic electromagnetostatic problem appears plausible.


Dragan Redžić, "Electromagnetostatic Charges and Fields in a Rotating Conducting Sphere," Progress In Electromagnetics Research, Vol. 110, 383-401, 2010.


    1. Grøn, Ø. and K. Vøyenli, "Charge distributions in rotating conductors," Eur. J. Phys., Vol. 3, 210-214, 1982.

    2. Born, M. and E. Wolf, Principles of Optics, 609-611, Pergamon Press, London, 1959.

    3. Tamm, I. E., Fundamentals of the Theory of Electricity, Mir, Moscow, 1979.

    4. Jefimenko, O. D., Electricity and Magnetism, 2 Ed., Electret Scientific, Star City, WV, 1989.

    5. Lorrain, P., "Electrostatic charges in v × B fields: the Faraday disk and the rotating sphere," Eur. J. Phys., Vol. 11, 94-98, 1990.

    6. Lorrain, P., "The Cowling `limiting-points' proof of his anti-dynamo theorem," IEEE Trans. on Plasma Sci., Vol. 19, 862-864, 1991.

    7. Lorrain, P., F. Lorrain, and S. Houle, Magneto-Fluid Dynamics: Fundamentals and Case Studies of Natural Phenomena, Springer, New York, NY, 2006.

    8. Redžić, D. V., "Comment on electrostatic charges in v×B fields," Eur. J. Phys., Vol. 22, L1-L2, 2001.

    9. Redžić, D. V., "Electromagnetism of rotating conductors revisited," Eur. J. Phys., Vol. 23, 127-134, 2002.

    10. Redžić, D. V., "Conductors moving in magnetic fields: approach to equilibrium," Eur. J. Phys., Vol. 25, 623-632, 2004.

    11. Swann, W. F. G., "On the magnetic and electric fields which spontaneously arise in a rotating conducting sphere," Terr. Magn. Atm. El., Vol. 22, 149-168, 1917.

    12. Swann, W. F. G., "Unipolar induction," Phys. Rev., Vol. 15, 365-398, 1920.

    13. Censor, D., "The method of images in velocity-dependent systems," Progress In Electromagnetics Research, Vol. 63, 51-73, 2006.

    14. Censor, D., "Free-space relativistic low-frequency scattering by moving objects," Progress In Electromagnetics Research, Vol. 72, 195-214, 2007.

    15. Idemen, M. and A. Alkumru, "Influence of motion on the edge-diffraction," Progress In Electromagnetics Research B, Vol. 6, 153-168, 2008.

    16. Ho, M., "Numerically solving scattered electromagnetic fields from rotating objects using passing center swing back grids technique: A proposal," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 2-3, 389-394, 2009.

    17. Ciarkowski, A., "Scattering of an electromagnetic pulse by a moving wedge," IEEE Transactions on Antennas and Propagation, Vol. 57, No. 3, 688-693, 2009.

    18. Guo, K. Y. and X. Q. Sheng, "A precise recognition approach of ballistic missile warhead and decoy," Journal of Electromagnetic Waves and Applications, Vol. 23, No. 14-15, 1867-1875, 2009.

    19. Cheng, X. X., H. S. Chen, B.-I. Wu, and J. A. Kong, "Cloak for bianisotropic and moving media," Progress In Electromagnetics Research, Vol. 89, 199-212, 2009.

    20. Ho, M., "Simulation of scattered EM fields from rotating cylinder using passing center swing back grids technique in two dimensions," Progress In Electromagnetics Research, Vol. 92, 79-90, 2009.

    21. Tretyakov, O. A. and O. Akgun, "Derivation of Klein-Gordon equation from Maxwell's equations and study of relativistic time-domain waveguide modes," Progress In Electromagnetics Research, Vol. 105, 171-191, 2010.

    22. Minkowski, H., "Die Grundgleichungen für die elektromagnetis-chen Vorgänge in bewegten Körpern," Gött. Nachr., Vol. 2, 53-111, 1908 (reprinted in Minkowski, H., Gesammelte Abhandlungen, Vol. 2, 352-404, Chelsea, New York, NY, 1967).

    23. Sommerfeld, A., Electrodynamics, translated by E. G. Ramberg, Academic Press, New York, NY, 1952.

    24. Cullwick, E. G., Electromagnetism and Relativity, 2 Ed., Longmans Green, London, 1959.

    25. Rosser, W. G. V., An Introduction to the Theory of Relativity, Butterworth, London, 1964.

    26. Censor, D., "Application-oriented relativistic electrodynamics (2)," Progress In Electromagnetics Research, Vol. 29, 107-168, 2000.

    27. Idemen, M., "Derivation of the Lorentz transformation from the Maxwell equations," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 4, 451-467, 2005.

    28. Censor, D., "Relativistic electrodynamics: Various postulate and ratiocination frameworks," Progress In Electromagnetics Research, Vol. 52, 301-320, 2005.

    29. Mason, M. and W. Weaver, The Electromagnetic Field, Dover, New York, NY, 1929.

    30. Van Bladel, J., "Relativistic theory of rotating disks," Proceedings of the IEEE, Vol. 61, 260-268, 1973.

    31. Van Bladel, J., Relativity and Engineering, Springer, Berlin, 1984.

    32. Schlomka, T. and G. Schenkel, "Relativitätstheorie und Unipo-larinduktion," Ann. Phys. Lpz, Vol. 440, 51-62, 1949.

    33. Durand, É., Électrostatique et Magnétostatique, Masson, Paris, 1953.

    34. Jackson, J. D., Classical Electrodynamics, 3 Ed., Wiley, New York, NY, 1999.

    35. MacRobert, T. M., Spherical Harmonics, 2 Ed., Dover, New York, NY, 1948.

    36. Griffiths, D. J., Introduction to Electrodynamics, 3 Ed., Prentice-Hall, Upper Saddle River, NJ, 1999.

    37. Mashhoon, B., "Optics of rotating systems," Phys. Rev. A,, Vol. 79, 062111-1-6, 2009.

    38. Yener, N., "On the non-constancy of speed of light in vacuum for different Galilean reference systems," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 15, 2241-2255, 2007.

    39. Landau, L. D., E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media, 2 Ed., Elsevier Butterworth-Heinemann, Oxford, 1984.

    40. Redžić, D. V., "An extension of the magnetostatic image theory for a permeable sphere," J. Phys. D: Appl. Phys., Vol. 39, 4136-4141, 2006.

    41. Redžić, D. V., "The magnetic field of a static circular current loop: A new derivation," Eur. J. Phys., Vol. 27, N9-N14, 2006.

    42. Smythe, W. R., Static and Dynamic Electricity, 3 Ed., W. R., 1989.