A system, G(S), IS subject to unity feedback as shown in the figure below. The transter function is given by: G(s) = K(s+3) a(s+2)(*+8) R(s) Es) G(s) With respect to the the root locus of this system, which statement, or statements, are correct? O a. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 20 Ob. A gain in the range of K > 10 will give purely real closed loop poles O. None of the other answers O d. A gain in the range of 0 < K < 3 will give purely real closed loop poles O e. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 12

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A system, G(s), is subject to unity feedback as shown in the figure below. The transfer function is given by:
G(s) =
K (8+3)
s(s+2)(s+8)
R(s) +
E(s)
C(s)
G(s)
With respect to the the root locus of this system, which statement, or statements, are correct?
O a. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 20
а.
O b.
A gain in the range of K > 10 will give purely real closed loop poles
O c. None of the other answers
O d. A gain in the range of 0 < K < 3 will give purely real closed loop poles
O e. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 12
Transcribed Image Text:A system, G(s), is subject to unity feedback as shown in the figure below. The transfer function is given by: G(s) = K (8+3) s(s+2)(s+8) R(s) + E(s) C(s) G(s) With respect to the the root locus of this system, which statement, or statements, are correct? O a. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 20 а. O b. A gain in the range of K > 10 will give purely real closed loop poles O c. None of the other answers O d. A gain in the range of 0 < K < 3 will give purely real closed loop poles O e. The damping ratio line of = 0.7071 is crossed for a gain in the range of K > 12
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