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1. X(s) Find the transfer functions Y(s)/X(s) and Y(s)/D(s) for the following block diagram. xx とて G3 G₁ G2 ху G4 G5 Y(s) D(s). Solution You should obtain the following results: D=0 = G₁(G2 + G3(G5 – G4)) = - G1G2 G1G3G4 + G₁G3G5 1 − G₁(G2 + G3(G5 — G4)) ¯¯ 1 − G1 G2 + G₁G3G4 – G1G3G5 - (6) X=0 = -G5 -G5 1 - G₁(G2 + G3(G5 - G4)) 1G1G2G1G3 G4 - G1G3G5

1. X(s) Find the transfer functions Y(s)/X(s) and Y(s)/D(s) for the following block diagram. xx とて G3 G₁ G2 ху G4 G5 Y(s) D(s). Solution You should obtain the following results: D=0 = G₁(G2 + G3(G5 – G4)) = - G1G2 G1G3G4 + G₁G3G5 1 − G₁(G2 + G3(G5 — G4)) ¯¯ 1 − G1 G2 + G₁G3G4 – G1G3G5 - (6) X=0 = -G5 -G5 1 - G₁(G2 + G3(G5 - G4)) 1G1G2G1G3 G4 - G1G3G5

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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1. X(s) Find the transfer functions Y(s)/X(s) and Y(s)/D(s) for the following block diagram. xx とて G3 G₁ G2 ху G4 G5 Y(s) D(s).
Transcribed Image Text:1. X(s) Find the transfer functions Y(s)/X(s) and Y(s)/D(s) for the following block diagram. xx とて G3 G₁ G2 ху G4 G5 Y(s) D(s).
Solution You should obtain the following results: D=0 = G₁(G2 + G3(G5 – G4)) = - G1G2 G1G3G4 + G₁G3G5 1 − G₁(G2 + G3(G5 — G4)) ¯¯ 1 − G1 G2 + G₁G3G4 – G1G3G5 - (6) X=0 = -G5 -G5 1 - G₁(G2 + G3(G5 - G4)) 1G1G2G1G3 G4 - G1G3G5
Transcribed Image Text:Solution You should obtain the following results: D=0 = G₁(G2 + G3(G5 – G4)) = - G1G2 G1G3G4 + G₁G3G5 1 − G₁(G2 + G3(G5 — G4)) ¯¯ 1 − G1 G2 + G₁G3G4 – G1G3G5 - (6) X=0 = -G5 -G5 1 - G₁(G2 + G3(G5 - G4)) 1G1G2G1G3 G4 - G1G3G5
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