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The forward-path transfer function of a unity negative feedback system is given by:

The value of K which will place both the poles of the closed-loop system at the same location is.​​​​
  • a)
    4.5
  • b)
    2.25
  • c)
    3.25
  • d)
    2.55
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The forward-path transfer function of a unity negative feedback system...
Concept:
Poles of closed-loop system = zeroes of the characteristic equation.
Characteristic equation is given by:
1 + G(s) H(s) = 0

(s + 2) (s – 1) + K = 0
s2 + s – 2 + k = 0
s2 + s + (k – 2) = 0
Given that the poles of closed system ‘or’ we can say zeroes of the characteristic equation are at same location. This indicates that the roots of the characteristic equation will be real, i.e.
b2 – 4ac = 0
Here, b = 1, a = 1 and c = k – 2
b2 – 4ac = 1 – 4(1) (k -2) = 0
1 – 4 (k - 2) = 0
1 – 4k + 8 = 0
4k = 9
K = 2.25 
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The forward-path transfer function of a unity negative feedback system is given by:The value of K which will place both the poles of the closed-loop system at the same location is.a)4.5b)2.25c)3.25d)2.55Correct answer is option 'B'. Can you explain this answer?
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The forward-path transfer function of a unity negative feedback system is given by:The value of K which will place both the poles of the closed-loop system at the same location is.a)4.5b)2.25c)3.25d)2.55Correct answer is option 'B'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The forward-path transfer function of a unity negative feedback system is given by:The value of K which will place both the poles of the closed-loop system at the same location is.a)4.5b)2.25c)3.25d)2.55Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The forward-path transfer function of a unity negative feedback system is given by:The value of K which will place both the poles of the closed-loop system at the same location is.a)4.5b)2.25c)3.25d)2.55Correct answer is option 'B'. Can you explain this answer?.
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