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A unity feedback system with open-loop transfer function G (s) = 4/[s(s+p)] is critically damped. The value of the parameter p is
- a)4
- b)3
- c)2
- d)1
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A unity feedback system with open-loop transfer function G (s) = 4/[s(...
Explanation: The value of the p can be calculated by comparing the equation with the standard characteristic equation.
Most Upvoted Answer
A unity feedback system with open-loop transfer function G (s) = 4/[s(...
Given:
The open-loop transfer function of the unity feedback system is G(s) = 4/[s(s+p)].
To find:
The value of the parameter p.
Solution:
In order to determine the value of p for a critically damped system, we need to analyze the poles of the transfer function.
Poles of the Transfer Function:
The poles of the transfer function are the values of s for which the denominator of the transfer function becomes zero. In this case, the denominator is (s(s+p)).
Setting the denominator equal to zero, we have:
s(s+p) = 0
This equation has two solutions:
s = 0
s = -p
Critical Damping:
A system is said to be critically damped if it returns to its steady-state position in the shortest possible time without oscillating. In other words, the system reaches its final state as quickly as possible without overshooting.
For a critically damped system, the poles of the transfer function must be real and equal.
In this case, we have two poles: s = 0 and s = -p. For the system to be critically damped, these poles must be real and equal.
Therefore, the value of p must be such that -p = 0. This implies that p = 0.
Answer:
The value of the parameter p is 0. Therefore, the correct answer is option 'A'.
The open-loop transfer function of the unity feedback system is G(s) = 4/[s(s+p)].
To find:
The value of the parameter p.
Solution:
In order to determine the value of p for a critically damped system, we need to analyze the poles of the transfer function.
Poles of the Transfer Function:
The poles of the transfer function are the values of s for which the denominator of the transfer function becomes zero. In this case, the denominator is (s(s+p)).
Setting the denominator equal to zero, we have:
s(s+p) = 0
This equation has two solutions:
s = 0
s = -p
Critical Damping:
A system is said to be critically damped if it returns to its steady-state position in the shortest possible time without oscillating. In other words, the system reaches its final state as quickly as possible without overshooting.
For a critically damped system, the poles of the transfer function must be real and equal.
In this case, we have two poles: s = 0 and s = -p. For the system to be critically damped, these poles must be real and equal.
Therefore, the value of p must be such that -p = 0. This implies that p = 0.
Answer:
The value of the parameter p is 0. Therefore, the correct answer is option 'A'.
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A unity feedback system with open-loop transfer function G (s) = 4/[s(s+p)] is critically damped. The value of the parameter p isa)4b)3c)2d)1Correct answer is option 'A'. 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 A unity feedback system with open-loop transfer function G (s) = 4/[s(s+p)] is critically damped. The value of the parameter p isa)4b)3c)2d)1Correct answer is option 'A'. 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 A unity feedback system with open-loop transfer function G (s) = 4/[s(s+p)] is critically damped. The value of the parameter p isa)4b)3c)2d)1Correct answer is option 'A'. Can you explain this answer?.
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