# Voltage Gain

When referring to measurements of amplitude, when impedances at input and output are equal, a ratio can be expressed in decibels (G) by evaluating twenty times the base-10 algorithm of the ratio of the measured quantity (Vout) to the reference level (Vin).

$G=20log left( frac{V_{out}}{V_{in}} right)$

$V_{in}=frac{V_{out}}{10^frac{G}{20}}$

$V_{out}=10^frac{G}{20}V_{in}$