Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The forward path transfer function of a unity... Start Learning for Free
The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.
What is the phase margin of the system?
What is the phase margin of the system?
- a)–π rad
- b)0 rad
- c)π/2 rad
- d)π rad
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The forward path transfer function of a unity feedback system is given...
Answer: d
Explanation: Magnitude at gain cross over frequency is 1 and PM is π rad.
Explanation: Magnitude at gain cross over frequency is 1 and PM is π rad.
Most Upvoted Answer
The forward path transfer function of a unity feedback system is given...
To find the phase margin, we need to determine the phase angle at the frequency where the magnitude of the transfer function is 1.
The transfer function G(s) can be rewritten as:
G(s) = 1/(1 + s)^2
To find the phase angle at the frequency where |G(s)| = 1, we need to solve for s in the equation |G(s)| = 1:
1/(1 + s)^2 = 1
(1 + s)^2 = 1
Taking the square root of both sides:
1 + s = ±1
There are two possible solutions:
1) 1 + s = 1
Solving for s:
s = 0
2) 1 + s = -1
Solving for s:
s = -2
Now, we need to find the phase angle at each of these frequencies.
At s = 0, the phase angle is 0 degrees.
At s = -2, the phase angle can be found by substituting s = -2 into the transfer function:
G(-2) = 1/(1 + (-2))^2
= 1/(-1)^2
= 1
Since the magnitude of the transfer function is 1 at s = -2, the phase angle is -180 degrees.
Therefore, the phase margin is the difference between 180 degrees and the phase angle at the frequency where |G(s)| = 1. In this case, the phase margin is:
Phase Margin = 180 degrees - (-180 degrees)
= 180 degrees + 180 degrees
= 360 degrees
So, the phase margin of the system is 360 degrees.
The transfer function G(s) can be rewritten as:
G(s) = 1/(1 + s)^2
To find the phase angle at the frequency where |G(s)| = 1, we need to solve for s in the equation |G(s)| = 1:
1/(1 + s)^2 = 1
(1 + s)^2 = 1
Taking the square root of both sides:
1 + s = ±1
There are two possible solutions:
1) 1 + s = 1
Solving for s:
s = 0
2) 1 + s = -1
Solving for s:
s = -2
Now, we need to find the phase angle at each of these frequencies.
At s = 0, the phase angle is 0 degrees.
At s = -2, the phase angle can be found by substituting s = -2 into the transfer function:
G(-2) = 1/(1 + (-2))^2
= 1/(-1)^2
= 1
Since the magnitude of the transfer function is 1 at s = -2, the phase angle is -180 degrees.
Therefore, the phase margin is the difference between 180 degrees and the phase angle at the frequency where |G(s)| = 1. In this case, the phase margin is:
Phase Margin = 180 degrees - (-180 degrees)
= 180 degrees + 180 degrees
= 360 degrees
So, the phase margin of the system is 360 degrees.
 | Explore Courses for Electrical Engineering (EE) exam |  |
Top Courses for Electrical Engineering (EE)View all
Top Courses for Electrical Engineering (EE)
Question Description
The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2026 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 feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer?.
The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2026 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 feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. 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 forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The forward path transfer function of a unity feedback system is given by G(s) = 1/(1+s)^2.What is the phase margin of the system?a)–π radb)0 radc)π/2 radd)π radCorrect answer is option 'D'. 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.
