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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The electromechanical system shown in Fig. 2.50 represents a simplified model of a capacitor microphone. The system consists in part of a parallel plate capacitor connected into an electric circuit. Capacitor plate a is rigidly fastened to the microphone frame. Sound waves pass through the mouthpiece and exert a force fs(t) on plate b, which has mass M and is connected to the frame by a set of springs and dampers. The capacitance C is a function of the distance x between the plates, as follows:
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Where
ε= dielectric constant of the material between the plates,
A = surface area of the plates. The charge q and the voltage e across the plates are related by
Q = C(x)e
The electric field in turn produces the following force fe on the movable plate that opposes its motion:
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(a) Write differential equations that describe the operation of this system. (It is acceptable to leave in nonlinear form.)
(b) Can one get a linear model?
(c) What is the output of the system?
Hel-----------lo -----------Sir-----------/Ma-----------dam----------- Â----------- Th-----------ank----------- Yo-----------u f-----------or -----------usi-----------ng -----------our----------- we-----------bsi-----------te -----------and----------- ac-----------qui-----------sit-----------ion----------- of----------- my----------- po-----------ste-----------d s-----------olu-----------tio-----------n. -----------Ple-----------ase----------- pi-----------ng -----------me -----------on -----------cha-----------t I----------- am----------- on-----------lin-----------e o-----------r i-----------nbo-----------x m-----------e a----------- me-----------ssa-----------ge -----------I w-----------ill-----------