Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Consider a system with transfer function G(s)...
Start Learning for Free
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:
- a)2/6
- b)3
- c)1/6
- d)6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its dampi...
Answer: c
Explanation: s+6/K[s2+s/K+6/K] Comparing with s2+2Gw+w2
w= √6/K
2Gw=1/K
2*0.5*√6/K =1/K
K=1/6.
Explanation: s+6/K[s2+s/K+6/K] Comparing with s2+2Gw+w2
w= √6/K
2Gw=1/K
2*0.5*√6/K =1/K
K=1/6.
Most Upvoted Answer
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its dampi...
Solution:
Given transfer function is G(s) = s 6/Ks2 + s 6
Damping ratio is given by ζ = 0.5
Damping ratio is given by ζ = ζn/√(1 – ζ^2)
where ζn is the natural damping ratio
Natural frequency is given by ωn = √(K/1)
Damping ratio is given by ζ = 1/2 = ζn/√(1 – ζ^2)
Solving for ζn, we get
ζn = ζ√(1 – ζ^2)
Substituting the given values, we get
ζn = 0.5√(1 – 0.5^2) = 0.433
Natural frequency is given by
ωn = √(K/1)
ωn^2 = K
Substituting the value of natural frequency, we get
(0.433)^2 = 6/K
K = (0.433)^2 × 6 = 1/6
Hence, the value of k is 1/6.
Given transfer function is G(s) = s 6/Ks2 + s 6
Damping ratio is given by ζ = 0.5
Damping ratio is given by ζ = ζn/√(1 – ζ^2)
where ζn is the natural damping ratio
Natural frequency is given by ωn = √(K/1)
Damping ratio is given by ζ = 1/2 = ζn/√(1 – ζ^2)
Solving for ζn, we get
ζn = ζ√(1 – ζ^2)
Substituting the given values, we get
ζn = 0.5√(1 – 0.5^2) = 0.433
Natural frequency is given by
ωn = √(K/1)
ωn^2 = K
Substituting the value of natural frequency, we get
(0.433)^2 = 6/K
K = (0.433)^2 × 6 = 1/6
Hence, the value of k is 1/6.
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
Question Description
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer?.
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer?.
Solutions for Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. 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 Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider a system with transfer function G(s) = s+6/Ks2+s+6. Its damping ratio will be 0.5 when the values of k is:a)2/6b)3c)1/6d)6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup