Explanation to the Ampère Hairpin Experiment
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- Submited: April 2, 2022
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Published: April 14, 2022
Abstract
Ampère’s Hairpin Experiment is an old experiment within electromagnetism that has thus far been devoid of a reliable explanation. This paper proposes a solution to the problem by applying a rigorous interpretation of Coulomb’s Law, thereby taking into account the effects of retarded action and the Special Relativity Theory. This has already proved useful in explaining the collinear forces within electric currents in Ampère’s bridge and Graneau’s exploding wires. A model of an experimental set of Ampère’s Hairpin Experiment is proposed. Calculations corroborate that there will be an electromagnetic force pushing a metallic flat boat along the direction of an electric current in a trough, filled with liquid mercury. The shape of the set is done so that appropriate approximations will be allowed, thereby increasing the reader’s overview.
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References
[1] J. O. Jonson, ”The Magnetic Force between Two Currents Explained Using Only Coulomb's Law”, Chinese Journal of Physics, Volume 35, No. 2, pp. 139-149. ISSN: 0577-9073. http://blog.hasslberger.com/docs/JOJonsson_139.pdf
[2] 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 Iss. 3, 2015, pp. 29-39. DOI: 10.5963/JBAP0403002
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
[3] Jonson J.O., Additional Calculations on the Repulsive Forces within Ampère’s Bridge, Journal of Research and Opinion. 2020;2713−2716. https://doi.org/
10.15520/jro.v7i5.62
[4] A. M. Ampère, in “Mémoire. Sur la théorie mathématique des phénomènes électrodynamiques uniquement déduite de l’expérience”, les Mémoires que M. Ampère a communiqués à l’Académie royale des Sciences, dans les séances des 4 et 26 décembre 1820, 10 juin 1822, 22 décembre 1823, 12 septembre et 21 novembre 1825. Mémoires de l’Académie Royale des Sciences de l’Institut de France. Année 1823, Tome VI, Paris, chez Firmin Didot, Père et fils, libraires, Rue Jacob, No 24, 206, p. 211, pl.1.
[5] P. G. Moyssides and P. T. Pappas, “Rigorous Quantitative Test of Biot-Savart-Lorentz Forces”, J. Appl. Phys., vol. 59, no. 1, pp. 19-27, 1986. DOI:10.1063/1.336863.
[6] P. Graneau, “Ampere Tension in Electric Conductors”, IEEE Transactions on Magnetics, Vol. Mag-20, No. 2, March 1984, p. 453.
[7] J. O. Jonson, “Wesley’s Explanation of Graneau’s Exploding Wires Using Ampère’s Law Questioned by Analysis Based upon Usage of Coulomb’s Law”, Journal of Basic and Applied Physics, Vol. 4 No. 4, PP. 49-54, DOI:10.5963/JBAP0404001
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
[8] McDonald, Kirk T., “Ampère’s Hairpin Spaceship”, https://www.physics.princeton.edu/~mcdonald/examples/hairpin.pdf
between
[9] J. O. Jonson, The Magnetic Force between Two Currents Explained Using Only Coulomb's Law”, Chinese Journal of Physics, Volume 35, No. 2, p. 144. ISSN: 0577-9073. http://blog.hasslberger.com/docs/JOJonsson_139.pdf
[10] R. T. Weidner, R. L. Sells, “Elementary Modern Physics”, p. 7, Allyn and Bacon, 1974.
[11] J. O. Jonson, “Refutation of Feynman's Derivation of the Lienard-Wiechert Potentials”, Journal of New Energy, Volume 7, No. 3, pp. 42-44 2003, 10th Natural Philosophy Alliance Conference, Storrs, CT, United States, https://www.naturalphilosophy.org/site/event/?eventid=22
https://www.naturalphilosophy.org//pdf//abstracts/abstracts_paperlink_1681.pdf
[12] J. O. Jonson, The Magnetic Force between Two Currents Explained Using Only Coulomb's Law”, Chinese Journal of Physics, Volume 35, No. 2, p. 1. ISSN: 0577-9073. http://blog.hasslberger.com/docs/JOJonsson_139.pdf
[13] 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 No. 3, 2015, p. 36, DOI: 10.5963/JBAP0403002
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
[2] 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 Iss. 3, 2015, pp. 29-39. DOI: 10.5963/JBAP0403002
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
[3] Jonson J.O., Additional Calculations on the Repulsive Forces within Ampère’s Bridge, Journal of Research and Opinion. 2020;2713−2716. https://doi.org/
10.15520/jro.v7i5.62
[4] A. M. Ampère, in “Mémoire. Sur la théorie mathématique des phénomènes électrodynamiques uniquement déduite de l’expérience”, les Mémoires que M. Ampère a communiqués à l’Académie royale des Sciences, dans les séances des 4 et 26 décembre 1820, 10 juin 1822, 22 décembre 1823, 12 septembre et 21 novembre 1825. Mémoires de l’Académie Royale des Sciences de l’Institut de France. Année 1823, Tome VI, Paris, chez Firmin Didot, Père et fils, libraires, Rue Jacob, No 24, 206, p. 211, pl.1.
[5] P. G. Moyssides and P. T. Pappas, “Rigorous Quantitative Test of Biot-Savart-Lorentz Forces”, J. Appl. Phys., vol. 59, no. 1, pp. 19-27, 1986. DOI:10.1063/1.336863.
[6] P. Graneau, “Ampere Tension in Electric Conductors”, IEEE Transactions on Magnetics, Vol. Mag-20, No. 2, March 1984, p. 453.
[7] J. O. Jonson, “Wesley’s Explanation of Graneau’s Exploding Wires Using Ampère’s Law Questioned by Analysis Based upon Usage of Coulomb’s Law”, Journal of Basic and Applied Physics, Vol. 4 No. 4, PP. 49-54, DOI:10.5963/JBAP0404001
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
[8] McDonald, Kirk T., “Ampère’s Hairpin Spaceship”, https://www.physics.princeton.edu/~mcdonald/examples/hairpin.pdf
between
[9] J. O. Jonson, The Magnetic Force between Two Currents Explained Using Only Coulomb's Law”, Chinese Journal of Physics, Volume 35, No. 2, p. 144. ISSN: 0577-9073. http://blog.hasslberger.com/docs/JOJonsson_139.pdf
[10] R. T. Weidner, R. L. Sells, “Elementary Modern Physics”, p. 7, Allyn and Bacon, 1974.
[11] J. O. Jonson, “Refutation of Feynman's Derivation of the Lienard-Wiechert Potentials”, Journal of New Energy, Volume 7, No. 3, pp. 42-44 2003, 10th Natural Philosophy Alliance Conference, Storrs, CT, United States, https://www.naturalphilosophy.org/site/event/?eventid=22
https://www.naturalphilosophy.org//pdf//abstracts/abstracts_paperlink_1681.pdf
[12] J. O. Jonson, The Magnetic Force between Two Currents Explained Using Only Coulomb's Law”, Chinese Journal of Physics, Volume 35, No. 2, p. 1. ISSN: 0577-9073. http://blog.hasslberger.com/docs/JOJonsson_139.pdf
[13] 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 No. 3, 2015, p. 36, DOI: 10.5963/JBAP0403002
http://db.naturalphilosophy.org/member/?memberid=304&subpage=abstracts
How to Cite
1.
Explanation to the Ampère Hairpin Experiment . Journal of Research and Opinion [Internet]. 2022 Apr. 14 [cited 2024 Apr. 28];9(4):3122-6. Available from: http://researchopinion.in/index.php/jro/article/view/152
