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From least action in electrodynamics to magnetomechanical energy-a review
KTH, School of Engineering Sciences (SCI), Mechanics, Theoretical and Applied Mechanics.
2009 (English)In: European journal of physics, ISSN 0143-0807, E-ISSN 1361-6404, Vol. 30, no 3, 515-539 p.Article, review/survey (Refereed) Published
Abstract [en]

The equations of motion for electromechanical systems are traced back to the fundamental Lagrangian of particles and electromagnetic fields, via the Darwin Lagrangian. When dissipative forces can be neglected the systems are conservative and one can study them in a Hamiltonian formalism. The central concepts of generalized capacitance and inductance coefficients are introduced and explained. The problem of gauge independence of self-inductance is considered. Our main interest is in magnetomechanics, i.e. the study of systems where there is exchange between mechanical and magnetic energy. This throws light on the concept of magnetic energy, which according to the literature has confusing and peculiar properties. We apply the theory to a few simple examples: the extension of a circular current loop, the force between parallel wires, interacting circular current loops and the rail gun. These show that the Hamiltonian, phase space, form of magnetic energy has the usual property that an equilibrium configuration corresponds to an energy minimum.

Place, publisher, year, edition, pages
2009. Vol. 30, no 3, 515-539 p.
Keyword [en]
current-carrying wire, charged-particles, parallel wires, magnetic-field, systems, force, inductance, networks, ammeter, space
Identifiers
URN: urn:nbn:se:kth:diva-18368DOI: 10.1088/0143-0807/30/3/009ISI: 000265581100009Scopus ID: 2-s2.0-67649877925OAI: oai:DiVA.org:kth-18368DiVA: diva2:336414
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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