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The root locus diagram of a unity feedback control system with loop transfer function as is intersecting the line ξ = 0.707 which is shown in figure below. The value of K at intersection of ξ=0.707 line and root locus is
  • a)
    4
  • b)
    6
  • c)
    2
  • d)
    1
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The root locus diagram of a unity feedback control system with loop t...
The root locus diagram is
cos⁡θ=ξ
θ=cos−1⁡(0.707)
θ=49∘
The intersection point is ′s′=−1+j1
since, point lies on the root locus, so
|G(s)H(s)|=1
K=(−1+j1)(1+j1)
K = 2
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The root locus diagram of a unity feedback control system with loop t...
The root locus diagram is
cos⁡θ=ξ
θ=cos−1⁡(0.707)
θ=49∘
The intersection point is ′s′=−1+j1
since, point lies on the root locus, so
|G(s)H(s)|=1
K=(−1+j1)(1+j1)
K = 2
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The root locus diagram of a unity feedback control system with loop transfer function as is intersecting the line ξ = 0.707 which is shown in figure below. The value of K at intersection of ξ=0.707 line and root locus isa)4b)6c)2d)1Correct answer is option 'C'. Can you explain this answer?
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