By Herbert H. Woodson
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Additional info for Electromechanical Dynamics, Part 2: Fields, Forces, and Motion
W. Blachford, "Induction Cup Parameters from Electromagnetic Field Theory and Experimental Analysis," IEEE Trans. Power ApparatusSystems, PAS. 84, No. 11, 189-193 (November 1965). * Note that the output voltage is proportional to the conductivity of the moving medium (Rm = uo VI). Hence there is a lower limit on the material conductivity that will lead to a useful output voltage. 3 attention was given to the effect of material motion on the diffusion of magnetic fields excited in the sinusoidal steady state.
6) becomes one equation in one unknown. (vVE V) = - - V V. 8) at Physically, this equation accounts for the conservation of free charge. The first term accounts for the flow of free charges into a small volume due to conduction. The second term appears because convection of the medium can give rise to the transport of free charge into a given region. Then the term on the right is the rate of increase of the local free charge density. 8 serves the same purpose in a distributed electric field system as the electrical equation of motion served in the lumped-parameter descriptions of Chapters 2 to 5.
N\ NX I IJji5 -------- Conducting sheet with conductance G - Fig. 7 A one-turn inductor used to replace the conducting block in Fig. 1. 35) ii = INe - t i° L, where the definitions of L and M have been used. 32). 36) whereas between the conductors B = B, = I°NI (1 - etiGL). 37) w This distribution of flux is shown in Fig. 8. When the switch is closed, there is no magnetic field between the conductors and a current exists to exclude the field. Then the interior region fills up with magnetic field at a Current sheets il=INe - GL d- _ - Magnitude of the flux density Fig.