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Root locus of s(s+2)+K(s+4) =0 is a circle. What are the coordinates of the center of this circle?(a) -2,0(b) -3,0(c) -4,0(d) -5,0I have been asked this question in an online interview.My doubt stems from The Root Locus Concepts topic in division The Root Locus Technique of Control Systems

Answer»

The correct answer is (C) -4,0

For EXPLANATION I WOULD SAY: s(s+2)+K(s+4) =0

1+K(s+4)/s(s+2) =0.

G(s)H(s) =K(s+b)/s(s+a)

Centre =(-b,0) =(-4,0).



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