Q2.Figure Q2 shows a block diagram with an input of C(s) and an output R(s). a) C(s) Ki K2 R(s) 1 + 5s 1 + 2s -s Figure Q2. Block diagram of control system. Simply the block diagram to get the transfer function of the system C(s)/R(s). Rule 10/20 Rule 1 Original Diagram Equivalent Diagram Combining blocks in series R(s) G₁(s) G₂(s) C(s) R(s) G₁(s)G₂(s) C(s) Combining blocks in parallel Rule 2 R(s) Eliminating a feedback loop Rule G₁(s) C(s) R(s) G₁(s)+G2(s) C(s) G₂(s) Rule 3 R(s) G(s) C(s) G(s) R(s) C(s) 1+G(s)H(s) R(s) H(s) Original Diagram Equivalent Diagram R(s)- G(s) G(s) C(s) C(s) G(s) X(s) Moving a summing element [R(s) + X(s)] × G(s) R(s)G(s) + X(s)G(s) Tx(s) R(s)→ G(s) C(s) R(s) G(s) C(s) G(s) X(s). R(s)G(s) + X(s) X(s) Tx(s) [R(s) + x G(s) R(s) G(s) C(s) R(s)- G(s) C(s) G(s) X(s) R(s) = X(s) R(s) xG(s) x = X(s) G(s) X(s) Moving a pickoff point R(s) G(s) ►C(s) R(s)- G(s) C(s) G(s) X(s) ▼X(s)
Q2.Figure Q2 shows a block diagram with an input of C(s) and an output R(s). a) C(s) Ki K2 R(s) 1 + 5s 1 + 2s -s Figure Q2. Block diagram of control system. Simply the block diagram to get the transfer function of the system C(s)/R(s). Rule 10/20 Rule 1 Original Diagram Equivalent Diagram Combining blocks in series R(s) G₁(s) G₂(s) C(s) R(s) G₁(s)G₂(s) C(s) Combining blocks in parallel Rule 2 R(s) Eliminating a feedback loop Rule G₁(s) C(s) R(s) G₁(s)+G2(s) C(s) G₂(s) Rule 3 R(s) G(s) C(s) G(s) R(s) C(s) 1+G(s)H(s) R(s) H(s) Original Diagram Equivalent Diagram R(s)- G(s) G(s) C(s) C(s) G(s) X(s) Moving a summing element [R(s) + X(s)] × G(s) R(s)G(s) + X(s)G(s) Tx(s) R(s)→ G(s) C(s) R(s) G(s) C(s) G(s) X(s). R(s)G(s) + X(s) X(s) Tx(s) [R(s) + x G(s) R(s) G(s) C(s) R(s)- G(s) C(s) G(s) X(s) R(s) = X(s) R(s) xG(s) x = X(s) G(s) X(s) Moving a pickoff point R(s) G(s) ►C(s) R(s)- G(s) C(s) G(s) X(s) ▼X(s)
Introductory Circuit Analysis (13th Edition)
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I have uploaded the rules, please explain step by step and which rule you have applied

Transcribed Image Text:Q2.Figure Q2 shows a block diagram with an input of C(s) and an output R(s).
a)
C(s)
Ki
K2
R(s)
1 + 5s
1 + 2s
-s
Figure Q2. Block diagram of control system.
Simply the block diagram to get the transfer function of the system C(s)/R(s).
![Rule
10/20
Rule 1
Original Diagram
Equivalent Diagram
Combining
blocks in
series
R(s)
G₁(s)
G₂(s)
C(s)
R(s) G₁(s)G₂(s)
C(s)
Combining
blocks in
parallel
Rule 2
R(s)
Eliminating a
feedback loop
Rule
G₁(s)
C(s)
R(s)
G₁(s)+G2(s)
C(s)
G₂(s)
Rule 3
R(s)
G(s)
C(s)
G(s)
R(s)
C(s)
1+G(s)H(s)
R(s)
H(s)
Original Diagram
Equivalent Diagram
R(s)-
G(s)
G(s)
C(s)
C(s)
G(s)
X(s)
Moving a summing
element
[R(s) + X(s)] × G(s)
R(s)G(s) + X(s)G(s)
Tx(s)
R(s)→
G(s)
C(s)
R(s) G(s)
C(s)
G(s)
X(s).
R(s)G(s) + X(s)
X(s)
Tx(s)
[R(s) +
x G(s)
R(s)
G(s)
C(s)
R(s)-
G(s)
C(s)
G(s)
X(s) R(s) = X(s)
R(s) xG(s) x
= X(s)
G(s)
X(s)
Moving a pickoff point
R(s)
G(s)
►C(s)
R(s)-
G(s)
C(s)
G(s)
X(s)
▼X(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e9f3fbc-f178-4c10-833f-0c2a76ea4b0d%2F87a61deb-eb44-48f9-8999-3c196c0f98e4%2F7c11szv_processed.png&w=3840&q=75)
Transcribed Image Text:Rule
10/20
Rule 1
Original Diagram
Equivalent Diagram
Combining
blocks in
series
R(s)
G₁(s)
G₂(s)
C(s)
R(s) G₁(s)G₂(s)
C(s)
Combining
blocks in
parallel
Rule 2
R(s)
Eliminating a
feedback loop
Rule
G₁(s)
C(s)
R(s)
G₁(s)+G2(s)
C(s)
G₂(s)
Rule 3
R(s)
G(s)
C(s)
G(s)
R(s)
C(s)
1+G(s)H(s)
R(s)
H(s)
Original Diagram
Equivalent Diagram
R(s)-
G(s)
G(s)
C(s)
C(s)
G(s)
X(s)
Moving a summing
element
[R(s) + X(s)] × G(s)
R(s)G(s) + X(s)G(s)
Tx(s)
R(s)→
G(s)
C(s)
R(s) G(s)
C(s)
G(s)
X(s).
R(s)G(s) + X(s)
X(s)
Tx(s)
[R(s) +
x G(s)
R(s)
G(s)
C(s)
R(s)-
G(s)
C(s)
G(s)
X(s) R(s) = X(s)
R(s) xG(s) x
= X(s)
G(s)
X(s)
Moving a pickoff point
R(s)
G(s)
►C(s)
R(s)-
G(s)
C(s)
G(s)
X(s)
▼X(s)
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