Electromechanical dynamics by Herbert H. Woodson, James R. Melcher
By Herbert H. Woodson, James R. Melcher
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Additional resources for Electromechanical dynamics
Note that detailed account of the excitation at z = 0 by the coil has not been made. Hence distribution of By at z = 0 has a discontinuous slope. From this equation it is apparent that as Rm approaches zero, the output voltage from the sensing coils does also. 82) that is, in this range of parameters, the voltage v, is directly proportional to the velocity V of the moving conducting sheet. The mechanism made available by this phenomenon for measuring the velocity of a material is attractive because it does not require mechanical or electrical contact with the moving medium.
2 0 1/d Fig. 4 Transient, one-dimensional diffusion of a magnetic field into a conducting material. The slab of conductor shown in Figs. 2 is viewed here from the end, as shown in Fig. 2. induction in this way are often called eddy currents. 7) with the definitions of our present one-dimensional example (see Fig. 2) to obtain J, 1 aB ut• az Bo od . odd 4 cos n d e-"',/. 30) The space distribution of this current density is plotted for several instants of time in Fig. 5. Note that at t = 0 the series does not converge at z = 0 and z = d.
83) is excited. Hence at any point in the x-z plane this current varies sinusoidally with the frequency o), whereas at any instant it varies sinusoidally in space. Points of constant phase on the current sheet move to the right with the velocity w/k, where both w and k are given. This example has attributes that make it possible to demonstrate the basic mechanism responsible for several practical magnetic induction-type interactions. As we shall see, currents are induced in the conducting material.