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The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:
- a)100 sec
- b)4 sec
- c)1 sec
- d)0.01 sec
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The transfer function of the system is G(s) = 100/(s + 1) (s + 100). F...
G(s) = 100/(s + 1) (s + 100)
Taking the dominant pole consideration,
S = -100 pole is not taken.
G(s) = 100/s + 1
Now it is first order system, ts 4T = 4 sec.
Taking the dominant pole consideration,
S = -100 pole is not taken.
G(s) = 100/s + 1
Now it is first order system, ts 4T = 4 sec.
Most Upvoted Answer
The transfer function of the system is G(s) = 100/(s + 1) (s + 100). F...
G(s) = 100/(s + 1) (s + 100)
Taking the dominant pole consideration,
S = -100 pole is not taken.
G(s) = 100/s + 1
Now it is first order system, ts 4T = 4 sec.
Taking the dominant pole consideration,
S = -100 pole is not taken.
G(s) = 100/s + 1
Now it is first order system, ts 4T = 4 sec.
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Community Answer
The transfer function of the system is G(s) = 100/(s + 1) (s + 100). F...
Settling Time Calculation:
To calculate the settling time for a system with a transfer function of G(s) = 100/(s^2 + 99s), we need to first determine the poles of the system.
Finding Poles:
- The poles of the system are the values of s that make the denominator of the transfer function equal to zero.
- Setting the denominator equal to zero, we get s^2 + 99s = 0.
- Solving for s, we find that the poles are at s = 0 and s = -99.
Calculating Settling Time:
- The settling time for a second-order system with a pair of complex conjugate poles can be approximated using the formula: Ts = 4/(ζωn), where ζ is the damping ratio and ωn is the natural frequency.
- For a second-order system with complex poles, the damping ratio ζ can be calculated as: ζ = 1/(2ζ), where ζ is the real part of the pole.
- Substituting the values of the poles into the formula, we find that ζ = 1/2 and ωn = 99.
- Plugging these values into the settling time formula, we get Ts = 4/(1 * 99) = 4 seconds.
Therefore, the approximate settling time for a unit step input to the system with a transfer function of G(s) = 100/(s^2 + 99s) is 4 seconds.
To calculate the settling time for a system with a transfer function of G(s) = 100/(s^2 + 99s), we need to first determine the poles of the system.
Finding Poles:
- The poles of the system are the values of s that make the denominator of the transfer function equal to zero.
- Setting the denominator equal to zero, we get s^2 + 99s = 0.
- Solving for s, we find that the poles are at s = 0 and s = -99.
Calculating Settling Time:
- The settling time for a second-order system with a pair of complex conjugate poles can be approximated using the formula: Ts = 4/(ζωn), where ζ is the damping ratio and ωn is the natural frequency.
- For a second-order system with complex poles, the damping ratio ζ can be calculated as: ζ = 1/(2ζ), where ζ is the real part of the pole.
- Substituting the values of the poles into the formula, we find that ζ = 1/2 and ωn = 99.
- Plugging these values into the settling time formula, we get Ts = 4/(1 * 99) = 4 seconds.
Therefore, the approximate settling time for a unit step input to the system with a transfer function of G(s) = 100/(s^2 + 99s) is 4 seconds.
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The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. 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 The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. 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 The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. Can you explain this answer?.
The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. 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 The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. 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 The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The transfer function of the system is G(s) = 100/(s + 1) (s + 100). For a unit step input to the system the approximate settling time for 2% criterion is:a)100 secb)4 secc)1 secd)0.01 secCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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