Abstract
We examine the electromagnetic disturbance created by a linearly expanding, ideally conducting cylinder in an external uniform magnetic field with account for effects of order v/c (v is the boundary velocity).
The problem of uniform magnetic field compression in a contracting cylindrical cavity with ideally conducting walls with radius decreasing linearly with time was solved in [1]. As far as we know the corresponding external problem has not been investigated.
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References
I. M. Rutkevich, “Electromagnetic field in a contracting cavity,” PMM, vol. 31, no. 3, 1967.
L. D. Landau and E. M. Lifshits, Classical Theory of Fields [in Russian], Fizmatgiz, Moscow, 1962.
L. I. Sedov, Similarity and Dimensional Methods in Mechanics [in Russian], Gostekhizdat, Moscow, 1957.
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Bodulinskii, V.K., Medvedev, Y.A. Electromagnetic disturbance created by an expanding conducting cylinder in a magnetic field. J Appl Mech Tech Phys 10, 605–606 (1969). https://doi.org/10.1007/BF00916218
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DOI: https://doi.org/10.1007/BF00916218