Question

each stage of a four-stage amplifier has a voltage gain of 15. the overall voltage gain is
select one:
○ a. 60
○ b. 15
○ c. 3,078
○ d. 50,625

Explanation:

Step1: Recall the formula for overall voltage gain of a multi - stage amplifier

For a multi - stage amplifier with \(n\) stages, if each stage has a voltage gain of \(A_v\), the overall voltage gain \(A_{v_{total}}\) is given by \(A_{v_{total}}=(A_v)^n\). Here, \(n = 4\) (four - stage amplifier) and \(A_v=15\).

Step2: Calculate the overall voltage gain

Substitute the values into the formula: \(A_{v_{total}}=(15)^4\). We know that \(15\times15 = 225\), then \(225\times15=3375\), and \(3375\times15 = 50625\).

Answer:

d. 50,625