Consider a causal second-order system with the transfer function 1 G(s) = 1+2s+s² with a unit-step R(s) = 1 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 → ∞0⁰ 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 with a unit-step R(s) = 1 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 → ∞0⁰ off to two decimal places, is (a) 5.25 (c) 2.81 (b) 4.50 (d) 3.89
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36297b8a-d71b-451b-adce-e36780e9cae1%2F8627d03d-77a4-4f66-be24-fda18099bd3b%2Fb2swlr_processed.png&w=3840&q=75)
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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