R₁(s) →→H₁ R₂ (s) G₁ H₂ G₂ G3 + H3 Figure 1 H5 H₁ G4 + C₂ (s) H7 H6 C₁(s)

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Figure 1 shows the block diagram of a simple jacketed reactor system. The input and
output of the system are denoted by R₁ (s), R₂ (s) and C₁(s), C₂(s), respectively.
(i) Sketch the signal flow graph of the given block diagram.
(ii) State all the individual loop's gains.
(iii) Identify and state all possible combination of non-touching loop's gains.
C₁(s)
C₂ (s)
(iv) Determine the transfer functions defined by G₁(s) =-
and G₂(s) =
R₁ (s)
R₂ (s)
using the Mason's Gain Formula
by
Transcribed Image Text:Figure 1 shows the block diagram of a simple jacketed reactor system. The input and output of the system are denoted by R₁ (s), R₂ (s) and C₁(s), C₂(s), respectively. (i) Sketch the signal flow graph of the given block diagram. (ii) State all the individual loop's gains. (iii) Identify and state all possible combination of non-touching loop's gains. C₁(s) C₂ (s) (iv) Determine the transfer functions defined by G₁(s) =- and G₂(s) = R₁ (s) R₂ (s) using the Mason's Gain Formula by
R₁(s)
R₂ (s)
H1
G₁
+
H₂
+
G₂
G3
+
H3
Figure 1
H5
HA
G4
C₂ (s)
H7
H6
C₁(s)
Transcribed Image Text:R₁(s) R₂ (s) H1 G₁ + H₂ + G₂ G3 + H3 Figure 1 H5 HA G4 C₂ (s) H7 H6 C₁(s)
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