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It Is Known That a Loss of Audio Output at Both

Question 47

Essay

It is known that a loss of audio output at both ends of the audible frequency range is inevitable due to the frequency response function of audio amplifier and medium (e.g., tape).
(a) If the output was 1 volt for frequencies at mid-range, after a loss of 3 dB\quad-3 \mathrm{~dB} at 18kHz18 \mathrm{kHz} what is the output voltage at this frequency? [Hint: Assume log102=0.3\log _{10} 2=0.3 .]
(b) To compensate the loss, a listener can adjust the gain (and hence the output) at different frequencies from an equalizer. If the loss remains 3 dB-3 \mathrm{~dB} and a gain through the equalizer is 6 dB6 \mathrm{~dB} at 18kHz18 \mathrm{kHz} , what is the output voltage now?

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