GATE EC 2015 Set 3 — Question 57
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Digital Circuits → Combinational Logic → Boolean Algebra & Identities
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Question
For the system shown in the figure, lies on the root locus if is ________.
📷 Figure: Unity-input negative feedback loop: summer (+, -), block K, block (s+3)/(s+2) giving Y(s), feedback block 10
Correct answer
0.29 to 0.31
Solution
The open-loop transfer function seen by the root locus isA point lies on the (180°) root locus if .Angle condition at : , a negative real number, so the angle is and the point lies on the locus for (it is on the real axis between the pole at and the zero at ).Magnitude condition:Answer: (accepted range to )
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