×

Comments on skin effect in solitary solid tubular conductor. (English) Zbl 1241.78007

Summary: J. C. Maxwell derived formulae for the calculation of current density and current in a cylindrical conductor supplied with variable current. In the 1950s, K. Simonyi published a method for calculating the current density in a cylindrical conductor made up of two conductors, cylindrical and tubular, of different resistivity. The present paper proves that Simonyi’s result is incorrect. The main attention is devoted to the method of calculating current density in a tubular conductor made up of tubular conductors of different resistivity.

MSC:

78A30 Electro- and magnetostatics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] J. C. Maxwell, A Treatise on Electricity and Magnetism, vol. 2, Dover Publications, New York, NY, USA, 3rd edition, 1954. · Zbl 0056.20612
[2] K. Simonyi, Foundations of Electrical Engineering, part 3, VEB, Berlin, Germany, 1956. · Zbl 0158.46404
[3] K. Simonyi, Foundations of Electrical Engineering, part 3, Pergamon, Oxford, UK, 1963. · Zbl 0125.44902
[4] K. Simonyi, Foundations of Electrical Engineering, part 3, Mir Publishers, Moscow, Russia, 1964. · Zbl 0158.46404
[5] J. R. Reitz, F. J. Milford, and R. W. Christy, Foundations of Electromagnetic Theory, chapter 13, Addison-Wesley, New York, NY, USA, 1993. · Zbl 0124.44506
[6] J. Hlávka, Ed., Electrical Engineering I, Physical Foundations, SNTL, Prague, Czech Republic, 1968.
[7] E. N. Miranda, “A simple model for understanding the skin effect,” International Journal of Electrical Engineering Education, vol. 36, pp. 31-36, 1999.
[8] O. Coufal, “Current density in a long solitary tubular conductor,” Journal of Physics. A, vol. 41, no. 14, Article ID 145401, 2008. · Zbl 1137.78302
[9] K. Rektorys and E. Vitásek, Eds., Survey of Applicable Mathematics, vol. 1 & 2 of Mathematics and Its Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 2nd edition, 1994. · Zbl 0805.00002
[10] E. Kamke, Ordinary Differential Equations, chapter 6, Nauka, Moscow, Russia, 1965.
[11] E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations I, Springer, Berlin, Germany, 2nd edition, 1993. · Zbl 0789.65048
[12] O. D. Kellog, Foundations of Potential Theory, chapter 6, Dover, New York, NY, USA, 1954.
[13] D. R. Lide, Handbook of Chemistry and Physics, CRC Press, Boca Raton, Fla, USA, 88th edition, 2008.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.