Amplifier Gain Calculator

Formula

The formula to calculate the Amplifier Gain (G) is:

\[ G = 10 \times \log_{10}\left(\frac{P_{out}}{P_{in}}\right) \]

Where:

Amplifier Gain (G): A measure of how much an amplifier increases the power of a signal, expressed in decibels (dB).
Output Power (Pout): The power output of the amplifier, measured in watts.
Input Power (Pin): The power input to the amplifier, measured in watts.

Let's say the output power (Pout) is 50 watts and the input power (Pin) is 5 watts. Using the formula:

\[ G = 10 \times \log_{10}\left(\frac{50}{5}\right) \]

We get:

\[ G \approx 10 \times \log_{10}(10) \approx 10 \times 1 = 10 \text{ dB} \]

So, the amplifier gain is approximately 10 dB.