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In a system with a negative feedback loop, how does the overall gain behave when the gain of the feedback path is positive?
Question

In a system with a negative feedback loop, how does the overall gain behave when the gain of the feedback path is positive?

A.

The overall gain increases

B.

The overall gain decreases

C.

The overall gain remains unchanged

D.

The amplifier stops working

Correct option is B

In a negative feedback system, the closed-loop gain is given by:Af=A1+Aβwhere: A= open-loop gain β= feedback path gain (positive in this case)Because the feedback is negative, the term 1+Aβ appears in the denominator.As long as β>0: The denominator increases The overall (closed-loop) gain decreasesThis reduction in gain improves stability, linearity, and bandwidth, which is why negative feedback is widely used.\text{In a negative feedback system, the closed-loop gain is given by:} \\[6pt]A_f = \frac{A}{1 + A\beta} \\[8pt]\text{where:} \\[4pt]\bullet \ A = \text{ open-loop gain} \\[2pt]\bullet \ \beta = \text{ feedback path gain (positive in this case)} \\[8pt]\text{Because the feedback is negative, the term } 1 + A\beta \text{ appears in the denominator.} \\[6pt]\text{As long as } \beta > 0: \\[6pt]\bullet \ \text{The denominator increases} \\[2pt]\bullet \ \text{The overall (closed-loop) gain decreases} \\[8pt]\text{This reduction in gain improves stability, linearity, and bandwidth, which is why negative feedback is widely used.}​​

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