An amplifier has an input power of 5 mW. The output power is 100 mW. What is the decibel gain to the nearest decibel?

The decibel gain to the nearest decibel = 13 db

Explanation:

Gain of an amplifier: This is defined as the measure of the ability of an amplifier to increase the power of a signal from the input to the output port by adding energy converted from some power supply to the signal.

It is represented mathematically as.

db = 10*log (p₂/p₁) ... Equation 1

Where dp = decibel gain of the amplifier, p₁ = input power of the amplifier, p₂ = output power of the amplifier.

Given: p₁ = 5 mW, p₂ = 100 mW.

Substituting these values into equation 1

db = 10*log (100/5)

db = 10*log (20)

dp = 10 * 1.301

dp = 13 db gain

Therefore the decibel gain to the nearest decibel = 13 db