Vol. 144
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2014-02-03
About the Physical Reality of ``Maxwell's Displacement Current'' in Classical Electrodynamics
By
Progress In Electromagnetics Research, Vol. 144, 329-343, 2014
Abstract
This work aims to provide a physical interpretation of the ``Maxwell's displacement current'' and generalize the use of the derivative function of the electrical flux ``dΨ/dt'' in the magnetic field calculation. The innovative contribution of this study is a mathematical model to describe the origin of magnetic field as a variation of electric flux. By this approach, it follows that only the function ``dΨ/dt'' can generate a ``magnetic tension'': this leads to an interesting unification of electrical phenomena. Displacement current and conduction current are interpreted as complementary aspects of the same phenomena. It is shown how the use of the ``dΨ/dt'' allows the recovery of a formal symmetry in Maxwell's relations of electromagnetic induction law and circuit magnetic law. Included also is a generalized expression of the function ``dΨ/dt''.
Citation
Marco Landini , "About the Physical Reality of ``Maxwell's Displacement Current'' in Classical Electrodynamics," Progress In Electromagnetics Research, Vol. 144, 329-343, 2014.
doi:10.2528/PIER13111501
http://www.jpier.org/PIER/pier.php?paper=13111501
References

1. Heras, J. A., "A formal interpretation of the displacement current and the instantaneous current: Comment on `time-dependent generalizations of the Biot Savart and Coulomb laws," by D. J. Gri±ths and M. A. Heald [Am. J. Phys., Vol. 59, 111{117, 1991], Am. J. Phys., Vol. 76, 592-595, 2008.

2. Heras, J. A., "A formal interpretation of the displacement current and the instantaneous formulation of Maxwell's equations," Am. J. Phys., Vol. 79, 409-416, 2011 .
doi:10.1119/1.3533223

3. Zeng, Q. P., "Problems on demonstration of the electric field producing the magnetic field," 1998 International Conference on Microwave and Millimeter Wave Technology Proceedings, ICMMT'98, 602-606, 1998.
doi:10.1109/ICMMT.1998.768360

4. Selvan, K. T., "A revisiting of scientific and philosophical perspectives on Maxwell's displacement current," Department of Electrical and Electronic Engineering, The University of Nottingham Malaysia Campus , Vol. 51, No. 3, 2009.

5. The present status of Maxwell's displacement current, Eur. J. Phys., Vol. 19, 155-166, 1998.

6. Jackson, J. D., "Maxwell's displacement current revisited," Eur. J. Phys., Vol. 20, 495-499, 1999.
doi:10.1088/0143-0807/20/6/315

7. Roche, J., "Reply to comment `on Maxwell's displacement current'," Eur. J. Phys., Vol. 21, L21, 1999.
doi:10.1088/0143-0807/20/1/014

8. Roche, J., "Reply to `J. D. Jackson's Maxwell's displacement current revisited," Eur. J. Phys., Vol. 21, L27-L28, 2000.
doi:10.1088/0143-0807/21/4/103

9. Jackson, J. D., "Reply to comment by J. Roche on `Maxwell's displacement current revisited," Eur. J. Phys., Vol. 21, L29, 2000.
doi:10.1088/0143-0807/21/4/104

10. Rajaraman, K. C., "Ampere and faraday: The electromagnetic symmetry," Source: International Journal of Electrical Engineering Education, Vol. 33, No. 4, 291-302, 1996.

11. Rajaraman, K. C., "Unification of electromagnetic laws and rules," International Journal of Electrical Engineering Education, Vol. 34, No. 3, 204-210, 1997.

12. Rajaraman, K. C., "Ampere's magnetic circuital law: A simple and rigorous two-step proof," International Journal of Electrical Engineering Education, Vol. 38, No. 3, 246-255, 2001.
doi:10.7227/IJEEE.38.3.7

13. Arthur, J. W., "An elementary view of Maxwell's displacement current," IEEE Antennas and Propagation Magazine, Vol. 51, No. 6, 2009.
doi:10.1109/MAP.2009.5433097

14. Weber, T. A. and D. J. Macomb, "On the equivalence of the laws of Biot-Savart and Ampere," Am. J. Phys., Vol. 57, 57-59, 1989.
doi:10.1119/1.15869

15. Jefimenko, O. D., "Comment on `on the equivalence of the laws of Biot-Savart and ampere'," Am. J. Phys., Vol. 58, 505, 1990.
doi:10.1119/1.16458

16. Jefimenko, O. D., "On Maxwell's displacement current," Eur. J. Phys.,, Vol. 25, 287-296, 2004.
doi:10.1088/0143-0807/25/2/015

17. Griffiths, D. J. and M. A. Heald, "Time-dependent generalizations of the Biot-Savart and Coulomb Laws," Am. J. Phys., Vol. 59, 111-117, 1991.
doi:10.1119/1.16589

18. Barlett, D. F. and T. R. Corle, "Measuring Maxwell's displacement current inside a capacitor," Phisical Rewiew Letters, Vol. 55, No. 1-1, 1985.

19. Cullwick, E. G., "Electromagnetism and Relativity, with Particular Reference to Moving Media and Electromagnetic Induction," Longmans, Green and Co., 1957.

20. Hallen, E., Elecromagnetic Theory, Chapman & Hall, London, 1962.

21. Panofsky, W. and M. Phillips, Elettricitµa e Magnetismo, Casa Editrice Ambrosiana, Milano, 1966.

22. Barozzi, F. and F. Gasparini, "Fondamenti di Elettrotecnica --- Elettromagnetismo, UTET,", 1989.

23. Jackson, J. D., Classical Electrodinamics, 3rd Ed., John Wiley & Sons, Inc., 2001.

24. Amaldi, E., , "Fisica Sperimentale --- Parte II," Universitµa di Roma, Tipo-Litografia Marves, 1960.

25. Mencuccini, C. and V. Silvestrini, Fisica II --- Elettromagnetismo, Ottica, Liguori, 1999.