Question

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 Select the correct answer from above options network theory questions and answers, network theory questions pdf, network theory question bank, network theory gate questions and answers pdf, mcq on network theory pdf, gate network theory questions and solutions, network theory mcq Test , ies network theory questions, Network theory Questions for GATE EC Exam, Network Theory MCQ (Multiple Choice Questions)

Answer 1

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 for 0 < t < 1. In terms of unit step function, f1 (t) = 10t [u (t) – u (t – 1)].