By Herbert H. Woodson
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Extra resources for Electromechanical Dynamics, Part 2: Fields, Forces, and Motion
1 that the relative value ofthis time and the diffusion time will be important. 2 we expect that this time in relation to the diffusion time will also be important. We are interested in sinusoidal steady-state conditions, hence we require an expression for B that includes both the effects of time varying fields and material motion. 9), written with the assumption that a/ax = alay = 0. ) 1 1 a"B, B - aB aB + va__. 15). The effect of the motion is to replace the time derivative with the convective derivative.
7 x 107 mhos/m. 2 CHARGE RELAXATION As discussed in the introduction to this chapter, the relaxation of charge in slightly conducting media constitutes the mechanism by which motion has an effect on electric field distributions in electric field systems. This is illustrated in the following sections by a series of examples. First, the relaxation of charge in systems involving media at rest is considered. Here the relaxation time is of fundamental importance in determining volume and surface charge densities that result from initial conditions and from excitations.
Magnetic Diffusion and Charge Relaxation Perfectly conducting Ssheets on these surfaces Fig. 1 System for studying magnetic diffusion as an electrical transient. A slab of conducting material is placed in the gap of a magnetic circuit excited by a step function of current. An end view of the slab is shown in Fig. 2. 1 Diffusion as an Electrical Transient To obtain a firm understanding of the basic electromagnetic phenomena that occur in magnetic field systems we consider first a simple example in which all materials are at rest and we study the diffusion of a magnetic field into (or out of) a rectangular slab of material.
Electromechanical Dynamics, Part 2: Fields, Forces, and Motion by Herbert H. Woodson