1.

Find the function f2 (t) from the time t = 1 to 3 sec.(a) (-10t+20) [u (t-1) +u (t-3)](b) (-10t+20) [u (t-1) – u (t-3)](c) (-10t-20) [u (t-1) + u (t-3)](d) (-10t-20) [u (t-1) – u (t-3)]I had been asked this question in unit test.My doubt stems from Definition of the Laplace Transform in division Intoduction to the Laplace Transform of Network Theory

Answer»

Right option is (b) (-10T+20) [u (t-1) – u (t-3)]

The EXPLANATION: From the graph, f2 (t) = -10t + 20 for 1 < t < 3. In terms of unit step FUNCTION, f2 (t) = (-10t+20) [u (t-1) – u (t-3)]. This function turn off at t = 1, turn off at t = 3.



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