Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > Consider the following statements: The tra...
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Consider the following statements:
The transfer function of a system is defined as the pseudo-static relationship between the input and output variable.
We can compute the frequency response of an interconnected system of components with the help of Transfer functions.
While using the Laplace transform on a transfer function it is possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system
A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
Which of the following are true?
- a)1,2,3,4
- b)1,2,4
- c)1,3,4
- d)1,2,3
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Consider the following statements: The transfer function of a syste...
**Statement Analysis:**
Let's analyze each statement to determine its validity:
1. The transfer function of a system is defined as the pseudo-static relationship between the input and output variable.
The transfer function of a system is a mathematical representation that relates the input to the output of a system. It describes the system's behavior in the frequency domain. This statement is true.
2. We can compute the frequency response of an interconnected system of components with the help of transfer functions.
The frequency response of a system is the steady-state response of the system to a sinusoidal input signal at different frequencies. It can be computed using the transfer function of the system. This statement is true.
3. While using the Laplace transform on a transfer function, it is possible to get information related to the qualitative behavior of the response by solving for the dynamic response of the system.
The Laplace transform is a mathematical tool used to analyze dynamic systems. By applying the Laplace transform to the transfer function, we can obtain the system's transfer function in the s-domain, which allows us to analyze the dynamic response of the system. This statement is true.
4. A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
A transfer function is a representation of a linear time-invariant (LTI) system. It is valid for LTI systems when all initial conditions are assumed to be zero. This statement is true.
**Valid Statements:**
Based on the analysis above, the following statements are true:
- The transfer function of a system is defined as the pseudo-static relationship between the input and output variable.
- We can compute the frequency response of an interconnected system of components with the help of transfer functions.
- A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
Therefore, the correct answer is option 'B' (1, 2, 4).
Let's analyze each statement to determine its validity:
1. The transfer function of a system is defined as the pseudo-static relationship between the input and output variable.
The transfer function of a system is a mathematical representation that relates the input to the output of a system. It describes the system's behavior in the frequency domain. This statement is true.
2. We can compute the frequency response of an interconnected system of components with the help of transfer functions.
The frequency response of a system is the steady-state response of the system to a sinusoidal input signal at different frequencies. It can be computed using the transfer function of the system. This statement is true.
3. While using the Laplace transform on a transfer function, it is possible to get information related to the qualitative behavior of the response by solving for the dynamic response of the system.
The Laplace transform is a mathematical tool used to analyze dynamic systems. By applying the Laplace transform to the transfer function, we can obtain the system's transfer function in the s-domain, which allows us to analyze the dynamic response of the system. This statement is true.
4. A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
A transfer function is a representation of a linear time-invariant (LTI) system. It is valid for LTI systems when all initial conditions are assumed to be zero. This statement is true.
**Valid Statements:**
Based on the analysis above, the following statements are true:
- The transfer function of a system is defined as the pseudo-static relationship between the input and output variable.
- We can compute the frequency response of an interconnected system of components with the help of transfer functions.
- A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero.
Therefore, the correct answer is option 'B' (1, 2, 4).
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Community Answer
Consider the following statements: The transfer function of a syste...
All are true except c as it doesn’t solve for dynamic response.
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Consider the following statements: The transfer function of a system is defined as the pseudo-static relationship between the input and output variable. We can compute the frequency response of an interconnected system of components with the help of Transfer functions. While using the Laplace transform on a transfer function it is possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero. Which of the following are true?a)1,2,3,4b)1,2,4c)1,3,4d)1,2,3Correct answer is option 'B'. Can you explain this answer?
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Consider the following statements: The transfer function of a system is defined as the pseudo-static relationship between the input and output variable. We can compute the frequency response of an interconnected system of components with the help of Transfer functions. While using the Laplace transform on a transfer function it is possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero. Which of the following are true?a)1,2,3,4b)1,2,4c)1,3,4d)1,2,3Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 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 Consider the following statements: The transfer function of a system is defined as the pseudo-static relationship between the input and output variable. We can compute the frequency response of an interconnected system of components with the help of Transfer functions. While using the Laplace transform on a transfer function it is possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero. Which of the following are true?a)1,2,3,4b)1,2,4c)1,3,4d)1,2,3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements: The transfer function of a system is defined as the pseudo-static relationship between the input and output variable. We can compute the frequency response of an interconnected system of components with the help of Transfer functions. While using the Laplace transform on a transfer function it is possible to get information related to the qualitative behaviour of the response by solving for the dynamic response of the system A transfer function is defined only for LTI systems when all initial conditions are assumed to be zero. Which of the following are true?a)1,2,3,4b)1,2,4c)1,3,4d)1,2,3Correct answer is option 'B'. Can you explain this answer?.
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