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Chapter 10: Problem 8

A certain amplifier exhibits an output power of 5 W wiah an input power of \(0.5\) W. What is the power gain in \(d B\) ?

Short Answer

Expert verified
Question: An amplifier has an output power of 5 W and an input power of 0.5 W. Calculate the power gain in decibels (dB). Answer: The power gain of the amplifier is 10 dB.

Step by step solution

01

Understand the power gain formula

The power gain of an amplifier is the ratio of the output power to the input power, which can be given as: Power Gain = Output Power 梅 Input Power
02

Calculate the power gain

Given the output power of 5 W and input power of 0.5 W, the power gain can be calculated as: Power Gain = 5 W 梅 0.5 W = 10
03

Convert power gain to decibels

To convert the power gain into decibels (dB), we will use the following formula: Power Gain (dB) = 10 脳 log10(Power Gain)
04

Calculate the power gain in dB

Using the formula from Step 3, we can now calculate the power gain in decibels: Power Gain (dB) = 10 脳 log10(10) = 10 脳 1 = 10 dB So, the power gain of the amplifier is 10 dB.

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