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    Logarithims and Exponents

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    If the amplitude ratio, N in decibels, of an electrical system is given by the formula;-

    N=10log(Po [output]/Pi [input])

    and the power is given by;-

    P=V^2/R

    Show that for matched input and output resistances the output voltage V[output] is related to V[input] by ;-

    Vo[output]=Vi [input] 10^(N/20)

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

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