Braking of a magnetic dipole moving with an arbitrary velocity through a conducting pipe

B.A. Knyazev^a, I.A. Kotel’nikov^a, A.A. Tyutin^b, V.S. Cherkasskii^b
^aBudker Institute of Nuclear Physics, Siberian Branch of the Russian Academy of Sciences, prosp. akad. Lavrenteva 11, Novosibirsk, 630090, Russian Federation
^bDepartment of Physics, Novosibirsk State University, Novosibirsk, Russian Federation

Lectures introducing students to electromagnetic induction phenomena often feature the popular experiment in which a small magnet falling down a long conducting pipe is markedly decelerated by the retarding force due to Foucault eddy currents arising in the pipe. In this paper, a formula for the retarding force, valid both for low velocities (when the force is proportional to the velocity v of magnet motion) and high velocities (when it first decreases as v^-1 and then as v^-1/2), is derived. The last two regimes are analogous to the collisionless (and hence unbounded) acceleration of plasma electrons and have not been previously described in the literature. The calculation of the retarding force in the presence of a longitudinal cut in the pipe wall is carried out, and experiments to measure this force are discussed.

PACS: 01.50.−i, 41.20.Gz (all)
DOI: 10.1070/PU2006v049n09ABEH005881
URL: https://ufn.ru/en/articles/2006/9/c/
Web of Science

000243785700003
Scopus

2-s2.0-33846494890
ADS NASA

2006PhyU...49..937K
Citation: Knyazev B A, Kotel’nikov I A, Tyutin A A, Cherkasskii V S "Braking of a magnetic dipole moving with an arbitrary velocity through a conducting pipe" Phys. Usp. 49 937–946 (2006)

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Оригинал: Князев Б А, Котельников И А, Тютин А А, Черкасский В С «Торможение магнитного диполя, движущегося с произвольной скоростью в проводящей трубе» УФН 176 965–974 (2006); DOI: 10.3367/UFNr.0176.200609d.0965

References (14) ↓ Cited by (12)

Marcuso M et al. Am. J. Phys. 59 1118 (1991)
Marcuso M et al. Am. J. Phys. 59 1123 (1991)
Saslow W M Am. J. Phys. 60 693 (1992)
Ribarić M, Ŝuŝterśić L Am. J. Phys. 60 513 (1992)
MacLatchy C S, Backman P, Bogan L Am. J. Phys. 61 1096 (1993)
Cadwell L H Am. J. Phys. 64 917 (1996)
Hahn K D et al. Am. J. Phys. 66 1066 (1998)
Kraftmakher Y Eur. J. Phys. 22 477 (2001)
Redžić D V Eur. J. Phys. 23 127 (2002)
Meledin G V chastnoe soobshchenie (2002)
Yanke E, Emde F, Lesh F Spetsial’nye Funktsii: Formuly, Grafiki, Tablitsy (M.: Nauka, 1964)
Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982) p. 414
Fahy S, Kittel C, Louie S G Am. J. Phys. 56 989 (1988)
Cherkassky V S, Knyazev B A, Kotelnikov I A "Electromagnetic screening by a thin conducting can" Preprint Budker INP 2003-71 (Novosibirsk: Budker Institute of Nuclear Physics of the Siberian Branch of Russian Academy of Science, 2003)