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Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = - as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded 1 →∞⁰ off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89

Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = - as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded 1 →∞⁰ off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded t→∞o off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89
Transcribed Image Text:Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² 1 with a unit-step R(s) = as an input. Let C(s) be the corresponding output. The time S taken by the system output c(t) to reach 94% of its steady-state value lim c(t), rounded t→∞o off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89
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