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Signals and systems electrical engineering miscellaneous


  1. The Laplace transform of the waveform shown in the figure is
    1/s² (1 + Ae – s + Be – 4s + Ce – 6s + De – 8s).
    The value of D is ______
    1. -1.5
    2. 1.5
    3. 0.5
    4. - 0.5
Correct Option: D

ƒ(t) = t[U(t) – U(t – 1)] + 1 [U(t – 1) – U(t – 4)] + (5 – t) [U(t – 4) – U(t – 6)] + (t/2 × -4) [U(t – 6) – U(t – 8)]

F(s) =
1
[1 - e-s] +
1
[e-s - e-4s] +
5
-
1
[e-4s - e-6s] +
4
-
1
[e-6s - e-8s]
ss2s²s

Comparing, we get D = – 0.5



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