Understanding Sensitivity in Negative Feedback: Definition and Explanation

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Sensitivity in negative feedback is defined as the ratio of the change in the fraction of gain with feedback to the fraction of gain without feedback, expressed as S = 1/(1+GH). The discussion raises a question about this definition, suggesting an alternative formulation that would involve the square of the denominator, S = 1/(1+GH)^2. The rationale behind the original definition is not fully explored, prompting a request for clarification. Understanding this definition is crucial for grasping the behavior of systems under feedback conditions. Further insights are needed to clarify why the chosen definition is preferred over the proposed alternative.
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Homework Statement



In study of negative feedback and stuff we define sensitivity as ration of the change in the fraction of gain with feedback to the fraction of gain without feedback. We get S = 1/(1+GH)

I was interested in knowing why did we choose to define it this way... Why not simply as ratio of change in the gain with feedback to change in gain without feedback? Then we'll get S=1/(1+GH)^2

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