Electromechanical Dynamics (Part 1).0054

# Electromechanical Dynamics (Part 1).0054 - A-PDF Split DEMO...

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We now use (1.1.25) with a rectangular surface enclosing the upper plate to obtain q = AcoE =-- eAv x + (eo/)d As would be expected from the linear constitutive law used in the derivation, the system is electrically linear. The charge can be expressed as q = C(x)v, where C(X) = S+ (/e)d" When voltage v and displacement x are specified functions of time, we can write the terminal current as dq E 0 A dv e 0 Av dz dt x + (co%/)d dt [x + (ofe)d] dt ' Note that the first term will exist when the geometry (x) is fixed and the voltage is varying and that the second term will exist when the voltage is constant and the geometry is varying. This illustrates once again how mechanical motion can generate a time-varying current. Example 2.1.5. As an example of a multiply excited electric field system, consider the system in Fig. 2.1.8
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