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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 ______
-
- -1.5
- 1.5
- 0.5
- - 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 - e-s] + | [e-s - e-4s] + | ![]() | - | ![]() | [e-4s - e-6s] + | ![]() | - | ![]() | [e-6s - e-8s] | ||||||
s² | s | s | s² | 2s² | s |
Comparing, we get D = – 0.5