Q5 (a) Find the Laplace transform of e 3u(t) by using definition. (b) Given the following facts about a real signal x(t) with Laplace transform of X(s). X(s) has exactly two poles. X(s) has no zeros in the finite s-plane. X(s) has poles at s = -2 + 3j and s =-2 – 3j. X(0) = 2. e3t x(t) is not absolutely integrable, therefore e3x(t) is not stable. Determine X(s) and specify its region of convergence.
Q5 (a) Find the Laplace transform of e 3u(t) by using definition. (b) Given the following facts about a real signal x(t) with Laplace transform of X(s). X(s) has exactly two poles. X(s) has no zeros in the finite s-plane. X(s) has poles at s = -2 + 3j and s =-2 – 3j. X(0) = 2. e3t x(t) is not absolutely integrable, therefore e3x(t) is not stable. Determine X(s) and specify its region of convergence.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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