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If a feedback control system has its open loop transfer function G(s)H(s) = K/(s-2)(s^2+3s+5) has the root locus plot which intersects the imaginary axis at s =0, then the value of K at this point will be(a) -5(b) 10(c) 5(d) -10I have been asked this question in homework.My question comes from Construction of Root Loci in division The Root Locus Technique of Control Systems

Answer»

The CORRECT choice is (B) 10

Easiest explanation: The intersection point on the imaginary axis at s =0 is obtained by ROUTH Hurwitz criteria MAKING s^0 row zero and getting the value K = 10.



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