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If a three stage amplifier has individual stage gains of 10db, 6db and 15db; then the total gain in db is ______

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If a three stage amplifier has individual stage gains of 10db, 6db and 15db; then the total gain in db is ______

(a) 600db

(b) 24db

(c) 14db

(d) 31db

I got this question in class test.

Question is taken from Multistage Amplifier topic in section Differential and Multistage Amplifiers of Electronic Devices & Circuits

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The correct answer is (d) 31db

To elaborate: The overall gain of a multistage amplifier is given as the product of the gain of the individual stages.

Gain (A) = A1 * A2 * A3 ……* An

Alternately, if the gain of each stage is given in db

The overall gain of the amplifier is the sum of gain of each stage

Gain in db = A1 + A2 + A3 (db)

= 10+6+15 = 31db.

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