From the table below, prove the ABCD constant for the given network  shown, using the MATRIX format shown:

Introductory Circuit Analysis (13th Edition)
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From the table below, prove the ABCD constant for the given network 
shown, using the MATRIX format shown:

+
Vs
Z₁
Is
+W
+
Vs
1
+
Vs
Is
Is
Y
Z₂ IR
T circuit
Z
www
Y₁ Y₂{
II circuit
IR
[/s] =[AB].
D.
VR
o +
VR
A,B,C,D A₂B₂C₂D₂
Series networks
IR
+ 1
VR
*[₁]
(1 + YZ₁) (Z₁ + Z₂ + YZ₁Z₂)
Y
(1 + Y₂Z)
(Y₁+ Y₂+ YaY₂Z)
A₁ B₁
at alle
C₁ D₁
A₂ B₂
C₂ D₂
(1 + YZ₂)
Z
(1 + Y₁Z)
(A₁A₂+ B₁C₂) (A,B₂+ B₁D₂)
(C₁₂A₂ + D₁C₂) (C₁B₂ + D₂ D₂)
Transcribed Image Text:+ Vs Z₁ Is +W + Vs 1 + Vs Is Is Y Z₂ IR T circuit Z www Y₁ Y₂{ II circuit IR [/s] =[AB]. D. VR o + VR A,B,C,D A₂B₂C₂D₂ Series networks IR + 1 VR *[₁] (1 + YZ₁) (Z₁ + Z₂ + YZ₁Z₂) Y (1 + Y₂Z) (Y₁+ Y₂+ YaY₂Z) A₁ B₁ at alle C₁ D₁ A₂ B₂ C₂ D₂ (1 + YZ₂) Z (1 + Y₁Z) (A₁A₂+ B₁C₂) (A,B₂+ B₁D₂) (C₁₂A₂ + D₁C₂) (C₁B₂ + D₂ D₂)
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