Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > The impulse response of a linear time invaria...
Start Learning for Free
The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would be
- a)1
- b)1/s2
- c)s
- d)1/s
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The impulse response of a linear time invariant system is a unit step ...
Impulse response,
c(t) = u(t)
We now that,
(impulse response) - Transfer function = 
∴
c(t) = u(t)
We now that,
(impulse response) - Transfer function = ∴
Most Upvoted Answer
The impulse response of a linear time invariant system is a unit step ...
Explanation:
Impulse Response:
- The impulse response of a system is the output of the system when an impulse function is given as input.
- In this case, the impulse response is a unit step function, which means that the output of the system is a step function when an impulse is applied.
Transfer Function:
- The transfer function of a system is the Laplace transform of the system's impulse response.
- Since the impulse response is a unit step function, its Laplace transform would be 1/s, where s is the Laplace variable.
Relation between Impulse Response and Transfer Function:
- The transfer function H(s) is the ratio of the output Y(s) to the input X(s) in the Laplace domain.
- Therefore, if the impulse response is h(t), the transfer function H(s) is given by H(s) = L{h(t)}, where L{} denotes the Laplace transform.
Conclusion:
- Given that the impulse response is a unit step function, the transfer function of the system would be 1/s. This is because the Laplace transform of a unit step function is 1/s.
- Hence, the correct answer is option 'D': 1/s.
Impulse Response:
- The impulse response of a system is the output of the system when an impulse function is given as input.
- In this case, the impulse response is a unit step function, which means that the output of the system is a step function when an impulse is applied.
Transfer Function:
- The transfer function of a system is the Laplace transform of the system's impulse response.
- Since the impulse response is a unit step function, its Laplace transform would be 1/s, where s is the Laplace variable.
Relation between Impulse Response and Transfer Function:
- The transfer function H(s) is the ratio of the output Y(s) to the input X(s) in the Laplace domain.
- Therefore, if the impulse response is h(t), the transfer function H(s) is given by H(s) = L{h(t)}, where L{} denotes the Laplace transform.
Conclusion:
- Given that the impulse response is a unit step function, the transfer function of the system would be 1/s. This is because the Laplace transform of a unit step function is 1/s.
- Hence, the correct answer is option 'D': 1/s.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer?
Question Description
The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 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 impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer?.
The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 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 impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect 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 impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The impulse response of a linear time invariant system is a unit step function. The transfer function of this system would bea)1b)1/s2c)sd)1/sCorrect 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
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup