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Alegebra & Complex Numbers : Amplitude Ratio and Input and Output Voltage

Make y the subject of the formula E = p(1-e^(y-1))

If the amplitude ratio, N in decibels is given by n = 10log(P0/P1) and the power is given by P=(V^2/R), show that for matched input and output resistances the output Vo is related to input voltage Vi by

Vo = Vi 10^(N/20)

If N is increase by 6 dB, show that output voltage is approximately doubled for the same input.

Please see the attached file for the fully formatted problems.


Solution Summary

Amplitude Ratio and Input and Output Voltage are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.