A unity feedback control system has an open loop transfer functionGs-K-ss2-7s-10- The value of K for which s - - 1- lies on the root locus of this system

(b) G(s)=K/s(s^2+7s+10) | G(s) |_s= 1=K/| 1 || 1 7+10 |=1 K/1× 4=1 K = 4 ...

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A unity feedback control system has an open loop transfer function
$G (s) = \frac{K}{s (s^{2} + 7 s + 10)}$ . The value of K for which s = - 1, lies on the root locus of this system

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Solution

The correct option is B 4
(b)
$G (s) = \frac{K}{s (s^{2} + 7 s + 10)}$

${| G (s) |}_{s = - 1} = \frac{K}{| - 1 | | 1 - 7 + 10 |} = 1$

$\frac{K}{1 \times 4} = 1$
K = 4

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A unity feedback control system has an open loop transfer function G(s)=Ks(s2+7s+10). The value of K for which s = - 1, lies on the root locus of this system

The correct option is B 4(b) G(s)=Ks(s2+7s+10) |G(s)|s=−1=K|−1||1−7+10|=1 K1×4=1 K = 4

A unity feedback control system has an open loop transfer function
$G (s) = \frac{K}{s (s^{2} + 7 s + 10)}$ . The value of K for which s = - 1, lies on the root locus of this system

The correct option is B 4
(b)
$G (s) = \frac{K}{s (s^{2} + 7 s + 10)}$

${| G (s) |}_{s = - 1} = \frac{K}{| - 1 | | 1 - 7 + 10 |} = 1$

$\frac{K}{1 \times 4} = 1$
K = 4