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;-
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.
Logarithims and exponents 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.