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

Alain Bossavit (1)

1 GeePs - Laboratoire Génie électrique et électronique de Paris

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.

Domaines: Physique [physics]

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