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The total period of the function shown in the figure is 4 sec and the amplitude is 10. Find the function f1 (t) from t = 0 to 1 in terms of unit step function.(a) 10t [u (t) – u (t + 1)](b) 10t [u (t) + u (t – 1)](c) 10t [u (t) + u (t + 1)](d) 10t [u (t) – u (t – 1)]I got this question in final exam.I'd like to ask this question from Definition of the Laplace Transform topic in portion Intoduction to the Laplace Transform of Network Theory |
Answer» CORRECT choice is (d) 10t [u (t) – u (t – 1)] The BEST explanation: The function shown in the figure is made up of LINEAR segments with break points at 0, 1, 3 and 4 seconds. From the graph, f1 (t) = 10t FOR0 < t < 1. In terms of unit step function, f1 (t) = 10t [u (t) – u (t – 1)]. |
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