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The Laplace transform of a 4 second transportation lag element is

  • a)

  • b)
    e−s/4

  • c)
    e4s

  • d)
    e−4s

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The Laplace transform of a 4 second transportation lag element isa)b)e...
Correct answer is D. e−4s
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Most Upvoted Answer
The Laplace transform of a 4 second transportation lag element isa)b)e...
Time shift property of laplace transform is :
if L{x(t)} = X(s) , then, for time lag,
L{x(t-T)}= (e^(-sT))* X(s).
so , the factor (e^(-sT)) is due to the time lag or transportation lag. So the answer is option D.
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The Laplace transform of a 4 second transportation lag element isa)b)e−s/4c)e4sd)e−4sCorrect answer is option 'D'. Can you explain this answer?
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