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A system has transfer function (5 - S)/(5 + S). It is a _______
- a)low pass system
- b)high pass system
- c)band pass system
- d)all pass system
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A system has transfer function (5 - S)/(5 + S). It is a _______a)low p...
Transfer Function Analysis
The given transfer function is (5 - S)/(5 + S), where S is the complex frequency variable. To analyze the nature of the system, we need to determine its frequency response.
Frequency Response
The frequency response of a system is obtained by substituting S = jω, where j is the imaginary unit and ω is the angular frequency. The transfer function becomes (5 - jω)/(5 + jω).
Magnitude Response
To determine the magnitude response, we need to find the absolute value of the transfer function.
Taking the absolute value of the transfer function gives |(5 - jω)/(5 + jω)|.
Denominator Analysis
To simplify the magnitude response, let's analyze the denominator of the transfer function (5 + jω).
Complex Conjugate
The denominator can be written as (5 + jω)(5 - jω), which is a product of two complex conjugates.
Product Simplification
Expanding the product gives 25 - jω^2, where ω^2 is the square of the angular frequency.
Magnitude Response (continued)
Now, the magnitude response becomes |(5 - jω)/(25 - jω^2)|.
Substitute S = jω
Substituting S = jω in the transfer function gives (5 - jω)/(5 + jω).
Substitute ω^2 = -S^2
Substituting ω^2 = -S^2 in the magnitude response gives |(5 - jω)/(25 + S^2)|.
Frequency Response Analysis
Analyzing the magnitude response, we can observe that it does not depend on the frequency variable ω.
Constant Magnitude
The magnitude of the transfer function is always constant, regardless of the frequency. Therefore, the system passes all frequencies equally.
All Pass System
A system that passes all frequencies equally is called an "all pass system".
Therefore, the given transfer function (5 - S)/(5 + S) is an all pass system.
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A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer?.
A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system has transfer function (5 - S)/(5 + S). It is a _______a)low pass systemb)high pass systemc)band pass systemd)all pass systemCorrect answer is option 'D'. Can you explain this answer?.
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