Journal of Basic and Applied Physics                            
Journal of Basic and Applied Physics(JBAP)
Frequency: Annually
Wesley’s Explanation of Graneau’s Exploding Wires Using Ampère’s Law Questioned by Analysis Based upon Usage of Coulomb’s Law
Full Paper(PDF, 554KB)
Wesley supports the claim by Graneau that Ampère’s law is able to account for the phenomenon called ‘Graneau’s exploding wires’. He bases the assumption on the same theoretical model as in an earlier treated case of Ampère’s bridge, where he derives the forces involved within the bridge using Ampère’s law. He also resolves a problem which he claims Graneau has been unable to treat in a satisfactory way: avoiding infinite expressions for the force when two current elements being infinitesimally close to each other are taken into account. Graneau has also assumed the necessity of including a Lorentz force term, in addition to Ampère’s law. The author has, in previous research, proposed Coulomb’s law as responsible for all electromagnetic interaction, thus sidestepping both Ampère’s law and Lorentz’ force law, as in the case of Ampère’s bridge. This method appears to be successful also in the case of Graneau’s exploding wires, since the Coulomb force may again be interpreted as in the case of Ampère´s Bridge. As one may conclude from this description, there is deep confusion about which theory is most suitable, and this renders obvious the need for resolving the conflict. The benefit of both Ampère’s law and Coulomb’s law is that they both imply a force component between collinear currents. However, Coulomb’s law is able to predict the breaking of wires, whereas in the case of Ampère’s law, some still unknown factors need to be defined. A study of experiments being performed during the last decade shows that the focus of interest has moved from the theoretical foundations behind wire breaks to studying effects related to the breaks, especially Z-pinch effects. The ruptures of wires are treated more like empirical facts when applying high enough voltage. The consequence of giving credit to Coulomb’s law in this case will also impact other experiments involving electromagnetic forces, due to the universal nature of Coulomb’s law.
Keywords:Ampère’s Law, Ampère’s Bridge, Coulomb’s Law, Graneau’s Exploding Wires, Wesley’s Interpretation of Graneau’s Exploding wires, Special Relativity Theory
Author: J. O. Jonson1
1.Alumnus of the KTH, SE-100 44 Stockholm, Sweden and of Stockholm University, SE-106 91 Stockholm, Sweden
  1. J. P. Wesley, Ampere Repulsion and Graneau’s Exploding Wire, Progress in Space-Time Physics, Benjamin Wesley-Publisher, pp. 181-186, 1987
  2. P. Graneau, “Longitudinal magnet forces?”, J. Appl. Phys. vol. 55, issue 6, p. 2598-2600, March 1984
  3. P. Graneau, “Ampere Tension in Electric Conductors”, IEEE Transactions on Magnetics, vol. Mag-20, issue 2, pp.444-455, March 1984
  4. J. P. Wesley, “Weber electrodynamics extended to include radiation”, Spec. Sci. Tech, vol. 10, no. 1, pp. 47-61, 1987
  5. J. P. Wesley, Ampere’s Original Force Law Compared with the Moyssides-Pappas Results, Progress in Space -Time Physics, Benjamin Wesley – Publisher, Blumberg. Germany, pp. 175-180, 1987
  6. J. O. Jonson, “The Repulsive Force Within Ampère’s Bridge Explained by Coulomb’s Law and Special Relativity Theory, Taking into Account the Effects of Propagation Delay”, Journal of Basic and Applied Physics, vol. 4, issue 3, pp. 29-39, August 2015
  7. H. G. Grassmann, ”Neue Theorie der Elektrodynamik”, Poggendorffs Ann. Phys. Chemie, Band 140, Ann. 64, p. 1, 1845
  8. J. O. Jonson, “Ampère's Law Proved Not to Be Compatible with Grassmann's Force Law”, Engineering Electrical and Electronic Engineering "Electromagnetic Radiation", book edited by Saad Osman Bashir, [Online] Available: DOI: 10.5772/37978, June, 2012
  9. J. C. Maxwell, A Treatise on Electricity and Magnetism, Vol. 2, Oxford University Press, London, p. 175, 1873
  10. F. E. Neumann, Die matematischen Gesetze der inducirten elektrischen Stroeme, Akademie der Wissenschaften, Berlin, p. 91, 1845
  11. A. M. Ampère, Mémoire. Sur la théorie mathématique des phénomènes électrodynamiques uniquement déduite de l’expérience dans lequel se trouvent réunis les Mémoirs que M. Ampère a communiqués à l’Académie royale des Sciences, dans les séances des 4 e26 décembre 1820, 10 juin 1822, 22 décembre 1823, 12 septembre et 21 novembre 1825, Mémmoirs de l’Académie Royale des Sciences de l’Institut deFrance Année 1823, Tome VI, Paris, chez Firmin Didot, Père et fils.libraires, Rue Jacob, No. 24, p. 204. Copy belongs to the Stockholm University Library,
  12. J. D. Jackson, Classical Electrodynamics, Second Edition, John Wiley & Sons, New York, p. 174, 1975
  13. P. Graneau, “First indication of Ampere tension in solid electric conductors”, Phys. Lett. 97A, pp. 253-255, 1983
  14. J. O. Jonson, “A Comparison between Ampère’s Law, Coulomb’s Law and the Lorentz Force”, Proc. of the NPA, vol. 7, no. 8, p. 234, 2010
  15. J. O. Jonson, “The Magnetic Force between Two Currents Explained Using Only Coulomb’s Law”, Chinese Journal of Physics, vol. 35, no. 2, pp. 139-149, April 1997
  16. J. O. Jonson, ‘The Electromagnetic Force between Two Parallel Current Conductors Explained Using Coulomb’s Law’, Electrical and Electronic Engineering » "Advanced Electromagnetic Waves", book edited by Saad Osman Bashir, [Online] Available: DOI: 10.5772/61221, Nov. 2015
  17. D. B. Sinars, M. Hu, K. M. Chandler, T. A. Shelkovenko, S. A. Pikuz,, J. B. Greenly, D. A. Hammer, and B. R. Kusse,, “Experiments measuring the initial energy deposition, expansion rates and morphology of exploding wires with about 1 kA/wire”, Physics of Plasmas, vol. 8, no. 1, pp.216-230, Jan. 2001
  18. G. S. Sarkisov, P. V. Sasorov, K. W. Struve, D. H. McDaniel, A. N. Gribov, and G. M. Oleinik, “Polarity effect for exploding wires in a vacuum”, Physical Review E, vol. 66, issue 4, 046413-1-6, October 2002
  19. G. S. Sarkisov,, P. V. Sasorov, K. W. Struve and D. H. McDaniel, “State of the metal core in nanosecond exploding wires and related phenomena”, Journal of Applied Physics, vol. 96, no. 3, pp. 1674-1686, August 2004
  20. R. Das, B. K. Das, R. Shukla, T Prabaharan and A. Shyam, “Analysis of electrical explosion of wire systems for the production of nanopowder”, Sadhana,, vol. 37, part 5, pp. 629-635, October 2012
  21. M. Scheid, C. Kusche, V. Schröder and U. Barth, “Tests on Suitability of the Ignition Source ‘Exploding Wire’ for the Determination of Explosion Characteristics of Combustible Dusts in the 20-L-Sphere”, Chemical Engineering Transactions, vol. 31, pp. 703-708, 2013
  22. J. Stephens, A. Neuber and M. Kristiansen, “Experimental and theoretical evaluation of surface coated exploding wires”, Phys. Plasmas vol. 19, issue 3, 032702, [Online] Available: DOI: 10.1063/1.3689855, March 2012
  23. R. Sinton, R van Herel, W. Enright and P. Bodger, “Generating extra long arcs using exploding wires”, J. Appl. Phys. vol. 110, issue 9, 093303, [Online] Available: DOI: 10.1063/1.3660386, November 2011
  24. P. Graneau,”The Electrodynamics of Ampere and Neumann”, Proc International Symposium on Electromagnetic Fields in Electric Engineering in Pavia, Italy, Ed. A Savini and J. Turowski, p.28, [Online] Available: DOI: 10.1007/978-1-4613-0721-1, 1987
  25. P. Graneau, P.N. Graneau, “Electrodynamic explosions in liquids”, Appl. Phys. Lett., vol. 46, issue 5, pp. 468-470, 1 March 1985
  26. J. D. Jackson, Classical Electrodynamics, Second Edition, John Wiley & Sons, New York, p. 5, 1975
  27. J. O. Jonson, “More on the Magnetic Force between Two Currents”, Proc. of the NPA, vol. 7, No. 2, 2010