The root locus plot of the roots of the characteristics equation of a closed loop system having the open loop transfer function K (s + 1)/[2 (2s + 1) (3s + 1)] will have a definite number of loci for variation of K from 0 to ∞. The number of loci is_______________?

Correct answer: C. 3

  • A. 1
  • B. 2
  • C. 3
  • D. 4

Explanation

The number of root-locus branches equals the number of open-loop poles. Here the denominator has three poles, so three loci originate as K increases from zero.

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