Please provide annotated answer for 4b. Thank you! A capacitive microphone consi

Question

Please provide annotated answer for 4b. Thank you! A capacitive microphone consists of two thin disks of aluminum with diameter 3.00 mm, one fixed, the other attached to a diaphragm that vibrates in response to acoustical waves. The space between the plates is filled with a substance with a dielectric constant K=175.3. If the distance between the plates is 0.100 mm when no acoustical waves are present, what is the capacitance of the device? If acoustic waves cause the diaphragm (and the attached plate) to vibrate with an amplitude of 1.00 micron (1 micron = 1.00 times 10-6 m), and each plate carries a charge of 1.88 times 1013 C, what is the amplitude Delta V of the voltage signal?

Explanation / Answer

Charge q = 1.88 x 10 -13 C

Capacitance C = 1.096 x 10 -10 F

Amplitude of voltage signal = q / C

                                       = (1.88 x 10 -13 C ) / (1.096 x 10 -10 F)

                                      = 1.715 x 10 -3 volt

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