Enter the output power and input power into the calculator to determine the amplifier gain in decibels (dB). This calculator helps in understanding the amplification level of an amplifier.

Amplifier Gain Formula

The following formula is used to calculate the amplifier gain:

G = 10 * log10(Pout / Pin)

Variables:

  • G is the gain of the amplifier (dB)
  • Pout is the output power of the amplifier (watts)
  • Pin is the input power to the amplifier (watts)

To calculate the amplifier gain, multiply 10 by the logarithm base 10 of the ratio of output power to input power.

What is Amplifier Gain?

Amplifier gain is a measure of how much an amplifier increases the power of a signal. It is expressed in decibels (dB), which is a logarithmic unit that quantifies the ratio between two values of power. The gain indicates the level of amplification provided by the amplifier and is an important parameter in audio and electronic systems.

How to Calculate Amplifier Gain?

The following steps outline how to calculate the Amplifier Gain.


  1. First, determine the output power of the amplifier (Pout) in watts.
  2. Next, determine the input power to the amplifier (Pin) in watts.
  3. Use the formula G = 10 * log10(Pout / Pin).
  4. Finally, calculate the Amplifier Gain (G) in decibels (dB).
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Output power of the amplifier (Pout) = 50 watts

Input power to the amplifier (Pin) = 5 watts