Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  The gain at the breakaway point of the root l... Start Learning for Free
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function
G(s)=Ks/{(s−1)(s−4)} is
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The gain at the breakaway point of the root locus of a unity feedback ...
View all questions of this test
Most Upvoted Answer
The gain at the breakaway point of the root locus of a unity feedback ...

Root Locus Analysis for Unity Feedback System

Open Loop Transfer Function:
The open loop transfer function of the system is given by:
G(s) = Ks/((s-1)(s-4))

Breakaway Point:
The breakaway point on the root locus is where the gain (K) is at its maximum value before the system becomes unstable.

Calculating the Breakaway Point:
To find the breakaway point, we need to determine the value of K at the breakaway point. This can be done by setting the derivative of the denominator of the characteristic equation to zero.

The characteristic equation is given by:
1 + G(s)H(s) = 0

For a unity feedback system (H(s) = 1), the characteristic equation becomes:
1 + G(s) = 0
1 + Ks/((s-1)(s-4)) = 0

Taking the derivative of the denominator with respect to s and setting it to zero gives us the breakaway point.

Calculating the Gain at Breakaway Point:
Setting the derivative of the denominator to zero and solving for K gives us the gain at the breakaway point.

After solving for K, we find that the gain at the breakaway point is 1.

Therefore, the correct answer is option A: 1.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer?
Question Description
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. 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 gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. 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 gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer?.
Solutions for The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer functionG(s)=Ks/{(s−1)(s−4)} isa)1b)2c)3d)4Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev