dB to Power Ratio Converter

Electronics Measurement

The dB is a dimensionless unit used to express the ratio between two power levels (\(P_1\)and \(P_2\)) or voltage levels (\(V_1\) and \(V_2\)). It is used to quantify gain (amplification) or loss (attenuation).

Convenience: Signal chain calculations become additive. If a source has a 10 dB gain and then passes through a 3 dB cable loss, the net change is simply \(10 - 3 = 7 dB\).
Power Ratio (Gain/Loss):

$$Gain(dB) = 10 \cdot \log_{10} \left( \frac{P_{out}}{P_{in}} \right)$$