dB Gain Calculator

Formula

The formula to calculate dB Gain is:

\[ dB = 10 \log \left( \frac{P2}{P1} \right) \]

Where:

\(dB\) is the decibel gain (decibels)
\(P2\) is the final power level (watts)
\(P1\) is the initial power level (watts)

What is a dB Gain?

A dB gain, also known as a decibel gain, is a measure of power increase that’s expressed as a log value of the ratio of the final power to the initial value.

Example Calculation

Let's assume the following values:

Initial Power (P1) = 10 W
Final Power (P2) = 100 W

Using the formula to calculate dB Gain:

\[ dB = 10 \log \left( \frac{100}{10} \right) = 10 \log (10) = 10 \times 1 = 10 \text{ dB} \]

The dB Gain is 10 dB.