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Forces Between Conductors: The "50/50 Rule"; About the Partition of Supplied Energy

Abstract : We prove the 50/50 rule of Fig. 1 by a Lagrangian technique (all fields pulled back to the reference configuration at time 0) which exposes the necessity of two circumstances for the result to hold: 1) time-invariance of currents, when expressed in “material form” and 2) equality of (magnetic) coenergy and energy, which excludes nonlinear B-H laws. A dual result, which holds in case of time-invariance of “flux linkages” (but without the linearity restriction), is found along the way.
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01310838
Contributor : Thierry Leblanc <>
Submitted on : Tuesday, May 3, 2016 - 11:22:11 AM
Last modification on : Wednesday, September 16, 2020 - 5:48:59 PM

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Alain Bossavit. Forces Between Conductors: The "50/50 Rule"; About the Partition of Supplied Energy. IEEE Transactions on Magnetics, Institute of Electrical and Electronics Engineers, 2015, 51 (3), pp.8202504 ⟨10.1109/TMAG.2014.2359915⟩. ⟨hal-01310838⟩

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