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Calculate the transfer function of a system if the response is c(t) = e-6t for t > 0.
Given the input signal is an impulse signal.
- a)
- b)
- c)(s + 6)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Calculate the transfer function of a system if the response is c(t) = ...
The ratio of Laplace transforms of output to the Laplace transform of the input assuming all inertial conditions are zero.
L[0] is Laplace transform of output
L[I] is Laplace transform of the input
Solution:
Solution:
Output = e-6t
L[0] = L[e-6t]
⇒ L[0] = 1 / s+6
We have, input signal is an impulse signal.
⇒ Input = δ(t)
L[I] = 1
From above concept,
Hence, 
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Calculate the transfer function of a system if the response is c(t) = ...
The ratio of Laplace transforms of output to the Laplace transform of the input assuming all inertial conditions are zero.
L[0] is Laplace transform of output
L[I] is Laplace transform of the input
Solution:
Solution:
Output = e-6t
L[0] = L[e-6t]
⇒ L[0] = 1 / s+6
We have, input signal is an impulse signal.
⇒ Input = δ(t)
L[I] = 1
From above concept,
Hence,
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