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Lecture 8A - EEL 4930 Audio Engineering Lecture 8A Summary...

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EEL 4930 Audio Engineering Lecture 8A Summary of Equations for Plane Waves in Air Problem 2 of Homework #4 relied on a lot of equations, some of which were not obvious. Let’s summarize some of these equations. c = ! / k = " P 0 / # 0 z 0 = ! 0 c We have ! p ! x = " # 0 ! u ! t , where p is pressure, u = !" ! t , u is particle velocity and ! is particle displacement. Plane-wave solutions are of the form ! ( x , t ) = ! 0 e j ( " t # kx ) . Then u = !" ! t = j #" ! u ! t = " # 2 $ 0 % ! p ! x = " 2 # 0 $ = % j "# 0 u p = z 0 u = j ! z 0 " ! = u / j " = p / j " z 0 u = j !" = p / z 0 Also, ! = p j " z 0 = p j "# 0 c = p jk # 0 c 2 = p jk # 0 $ P 0 / # 0 = p jk $ P 0
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EEL 4930 Audio Engineering (2010) Lecture 8A HW# 6; Due # 9 1. A microphone generates an open-circuit output voltage of 1.0 mV RMS when it is exposed to a 80 dB SPL, sound at 1 kHz. (a) What is the sensitivity of the microphone in V/Pa? (b) Express this sensitivity in dBV/Pa. (c) Compare the sensitivity of this microphone to that of a Shure SM58. (d) Suppose the mic has an equivalent input noise of 8 dB(A) re 20 μ Pa. What would be the signal to noise ratio when this microphone is driven with an 85 dB SPL?
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