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

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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.

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