Question
Download Solution PDFThe closed loop transfer function of a negative feedback system is 10 and feedback factor is 0.05. What will be the open loop gain?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSolution
Concept
The open loop gain is given by G(s)
The feedback factor is given by H(s)
Hence the closed loop transfer function is given by \(\frac{G(s)}{1+G(s)H(s)}\)
Calculation
Given \(\frac{G(s)}{1+G(s)H(s)}\) = 10
H(s) = 0.05
To claculate G(s) we have
\(\frac{G(s)}{1+G(s)0.05}\) = 10
G(s)= 10 + 0.5G(s)
0.5 G(s) = 10
G(s) = 20
Hence the open loop Gain is 20
Therefore the correct answer is option 2
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