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A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given by
- a)δ(t)
- b)1
- c)t
- d)t2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A linear system with H(s) = 1/s is excited by a unit step function inp...
TF = H(s) = 1/s,
Input is unit step, R(s) = 1/s
Now output for t > 0 can be calculated as
C(s) = H(s) x R(s)
C(s) = (1/s) x (1/s)
C(s) = 1 / s2
L-1[C(s)] = t
C(t) = t = ramp function
Most Upvoted Answer
A linear system with H(s) = 1/s is excited by a unit step function inp...
Given Information:
The transfer function of the linear system is H(s) = 1/s, and it is excited by a unit step function input.
Output for t > 0:
The output for t > 0 can be found by taking the inverse Laplace transform of the product of the input and the transfer function.
Calculation:
- The Laplace transform of a unit step function is 1/s.
- Given transfer function H(s) = 1/s.
- The output Y(s) can be calculated by Y(s) = H(s) * X(s), where X(s) is the Laplace transform of the unit step function.
- Substituting the values, Y(s) = 1/s * 1/s = 1/s^2.
- Taking the inverse Laplace transform of Y(s), we get y(t) = t.
Conclusion:
The correct answer is option 'C', which is t. The output for t > 0 in this linear system excited by a unit step function input is a ramp function with a slope of 1.
The transfer function of the linear system is H(s) = 1/s, and it is excited by a unit step function input.
Output for t > 0:
The output for t > 0 can be found by taking the inverse Laplace transform of the product of the input and the transfer function.
Calculation:
- The Laplace transform of a unit step function is 1/s.
- Given transfer function H(s) = 1/s.
- The output Y(s) can be calculated by Y(s) = H(s) * X(s), where X(s) is the Laplace transform of the unit step function.
- Substituting the values, Y(s) = 1/s * 1/s = 1/s^2.
- Taking the inverse Laplace transform of Y(s), we get y(t) = t.
Conclusion:
The correct answer is option 'C', which is t. The output for t > 0 in this linear system excited by a unit step function input is a ramp function with a slope of 1.
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A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer?.
A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A linear system with H(s) = 1/s is excited by a unit step function input. The output for t > 0 is given bya)δ(t)b)1c)td)t2Correct answer is option 'C'. Can you explain this answer?.
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