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Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.
Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is not correct explanation of A
- c)Both A is True but R is false
- d)Both A is False but R is true
Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): It is observed that step function is first derivative o...
Answer: b
Explanation: If response due to one standard signal is known then response due to other signals can also be derived.
Explanation: If response due to one standard signal is known then response due to other signals can also be derived.
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Assertion (A): It is observed that step function is first derivative o...
Explanation:
Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.
Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
Option (B) is correct as both statements (A) and (R) are true and (R) provides correct explanation of (A).
Explanation of (A):
- A ramp function is a function which starts from zero and increases linearly with time.
- The first derivative of a ramp function is a step function that starts from zero and increases with time.
- Similarly, a step function is a function that remains constant for all times except at certain points where it jumps to some other value.
- The first derivative of a step function is an impulse function that is zero for all times except at certain points where it takes an infinitely large value.
Explanation of (R):
- In linear time-invariant systems, the output time response is the convolution of the input time response and the impulse response of the system.
- The impulse response of the system is the time response of the system when the input is an impulse function.
- Since the impulse function is the first derivative of a step function, the impulse response of the system can be obtained by taking the first derivative of the step response of the system.
- Similarly, the step response of the system can be obtained by integrating the impulse response of the system.
- Hence, the output time response also follows the same sequence as that of input functions.
Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.
Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.
Option (B) is correct as both statements (A) and (R) are true and (R) provides correct explanation of (A).
Explanation of (A):
- A ramp function is a function which starts from zero and increases linearly with time.
- The first derivative of a ramp function is a step function that starts from zero and increases with time.
- Similarly, a step function is a function that remains constant for all times except at certain points where it jumps to some other value.
- The first derivative of a step function is an impulse function that is zero for all times except at certain points where it takes an infinitely large value.
Explanation of (R):
- In linear time-invariant systems, the output time response is the convolution of the input time response and the impulse response of the system.
- The impulse response of the system is the time response of the system when the input is an impulse function.
- Since the impulse function is the first derivative of a step function, the impulse response of the system can be obtained by taking the first derivative of the step response of the system.
- Similarly, the step response of the system can be obtained by integrating the impulse response of the system.
- Hence, the output time response also follows the same sequence as that of input functions.
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Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer?
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Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. 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 Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. 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 Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. 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 Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. 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 Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
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Here you can find the meaning of Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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ample number of questions to practice Assertion (A): It is observed that step function is first derivative of a ramp function and impulse function is first derivative of a step function.Reason (R): From the derived time response expression it is concluded that the output time response also follows the same sequence as that of input functions.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is not correct explanation of Ac)Both A is True but R is falsed)Both A is False but R is trueCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
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