Q1. Attempt all parts of this question. Consider the system shown in Figure Q1, where B is a constant term. Gp(s) D(s)|d(t) 1 s+ 1 Gc(s) C(s), c(t) R(s) E(s) e(t) K r(t) 2 2s + 3
Q1. Attempt all parts of this question. Consider the system shown in Figure Q1, where B is a constant term. Gp(s) D(s)|d(t) 1 s+ 1 Gc(s) C(s), c(t) R(s) E(s) e(t) K r(t) 2 2s + 3
Introductory Circuit Analysis (13th Edition)
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![Q1. Attempt all parts of this question.
Consider the system shown in Figure Q1, where ß is a constant term.
Gp(s)
D(s)|d(t)
1
G(s)
s+ 1
E(s)
K
e(t)
R(s)
C(s)
c(t)
r(t)
2
2s + 3
Figure Q1
(a) Derive an expression for the transfer function T1(s) from input D(s) to output C(s).
(b) Find the steady-state value of the output a(t) resulting from a step disturbance
d(t), and hence sketch the time response of c(t) for ß = 8 and K = 8.
(c) Find the transfer function T2(s) from input R(s) to output C(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F321b9d0f-f69a-4ccd-9972-4f6bfae20ceb%2Fa27e0048-f1fe-4c08-b346-627f0193d7dc%2Fxaz7gv_processed.png&w=3840&q=75)
Transcribed Image Text:Q1. Attempt all parts of this question.
Consider the system shown in Figure Q1, where ß is a constant term.
Gp(s)
D(s)|d(t)
1
G(s)
s+ 1
E(s)
K
e(t)
R(s)
C(s)
c(t)
r(t)
2
2s + 3
Figure Q1
(a) Derive an expression for the transfer function T1(s) from input D(s) to output C(s).
(b) Find the steady-state value of the output a(t) resulting from a step disturbance
d(t), and hence sketch the time response of c(t) for ß = 8 and K = 8.
(c) Find the transfer function T2(s) from input R(s) to output C(s).
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