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Electrical Engineering · Q3

Single Stage Transistor Amplifiers

Engineering and GATE · Electrical Engineering · question 3

Q3

An amplifier has a power gain of 100. Its db gain is ___________

A.
10 db
B.
20 db
Answer
C.
40 db
D.
None of the above

Answer: Option B

Solution

Answer: Option B
Solution:
The gain in decibels (dB) is a way to express the ratio of two power levels on a logarithmic scale.
The formula to convert power gain to dB gain is:
dB gain = 10 * log10 (Power Gain)
In this question, the power gain is 100.
So, dB gain = 10 * log10 (100)
Since 100 is 10 squared (10^2), log10 (100) is 2.
Therefore, dB gain = 10 * 2 = 20 dB.
So, a power gain of 100 corresponds to a dB gain of 20 dB.