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Phys. Rev. E 68, 037501 (2003) [4 pages]

Magnetic-field-limited currents

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J. R. Davies*
GoLP, Instituto Superior Técnico, 1049-001 Lisboa, Portugal

Received 20 March 2003; published 29 September 2003

An upper limit on the net current of a charged particle beam is derived by requiring the energy per unit length in the magnetic field to be less than that in the particles. The limit is calculated for five different current profiles. It is shown that an arbitrarily large net current can propagate in a large diameter ring. The results are found to be closely related to the Alfvén limit. A limit on the forward current in a conductor is calculated, which defines a magnetic inhibition time.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.037501
DOI:
10.1103/PhysRevE.68.037501
PACS:
41.75.-i, 52.59.-f

*Electronic address: jdavies@popsrv.ist.utl.pt