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_______________?

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Accepted Answer

3. The number of branches in the root locus plot is equal to the number of poles of the open-loop transfer function. Here, there are three poles at s=0, s=-1, and s=-1/3.