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The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note that ? is varied from 0 to ∞. Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The root-locus plot of a closed-loop system with unity negative feedb...
Given root locus diagram is shown below,
Form above figure, at s = -1 , five root locus branches are originating following the asymptotic angles 36o,108o,180o, 252o , 324o .
Hence, there will be five poles at s = -1
Since, all the five root locus branches are terminating at infinity, hence there will be five virtual zeros i.e. no physical zero.
Therefore OLTF is given by,
Hence, the correct option is (D).
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Community Answer
The root-locus plot of a closed-loop system with unity negative feedb...
Given root locus diagram is shown below,
Form above figure, at s = -1 , five root locus branches are originating following the asymptotic angles 36o,108o,180o, 252o , 324o .
Hence, there will be five poles at s = -1
Since, all the five root locus branches are terminating at infinity, hence there will be five virtual zeros i.e. no physical zero.
Therefore OLTF is given by,
Hence, the correct option is (D).
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The root-locus plot of a closed-loop system with unity negative feedback and transfer function KG(s) in the forward path is shown in the figure. Note that ? is varied from 0 to ∞. Select the transfer function G(s) that results in the root-locus plot of the closed-loop system as shown in the figure.a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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