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 Page 1


 
 
 
 
 
 
Impedance Parameters 
1 11 1 12 2
V Z I Z I ??
 
2 21 1 22 2
V Z I Z I ??
 
? ? ? ? ? ?
?
? ? ? ? ? ?
? ? ? ? ? ?
1 11 12 1
2 21 22 2
VZ
In matrix form 
ZI
I
  
V Z Z
 
 
?
??
2
1
11
1
I0
V
Z
I
 open circuit input impedance 
?
??
1
1
12
2
I0
V
Z
I
 open circuit transfer impedance form part 1 to part 2 
?
??
2
2
21
1
I0
V
Z
I
 open circuit transfer impedance form part 2 to part 1. 
?
??
1
2
22
2
I0
V
Z
I
 open circuit output impedance 
 
Admittance parameters 
1 11 1 12 2
I y V y V ??
 
2 21 1 22 2
I y V y V ??
 
In matrix form,  
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I y y V
I y y V
 
?
?
2
1
11
1
V0
I
y
V
 = short circuit input admittance. 
?
?
1
1
12
2
V0
I
y
V
 = short circuit transfer admittance from part 1 to part 2. 
 
Page 2


 
 
 
 
 
 
Impedance Parameters 
1 11 1 12 2
V Z I Z I ??
 
2 21 1 22 2
V Z I Z I ??
 
? ? ? ? ? ?
?
? ? ? ? ? ?
? ? ? ? ? ?
1 11 12 1
2 21 22 2
VZ
In matrix form 
ZI
I
  
V Z Z
 
 
?
??
2
1
11
1
I0
V
Z
I
 open circuit input impedance 
?
??
1
1
12
2
I0
V
Z
I
 open circuit transfer impedance form part 1 to part 2 
?
??
2
2
21
1
I0
V
Z
I
 open circuit transfer impedance form part 2 to part 1. 
?
??
1
2
22
2
I0
V
Z
I
 open circuit output impedance 
 
Admittance parameters 
1 11 1 12 2
I y V y V ??
 
2 21 1 22 2
I y V y V ??
 
In matrix form,  
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I y y V
I y y V
 
?
?
2
1
11
1
V0
I
y
V
 = short circuit input admittance. 
?
?
1
1
12
2
V0
I
y
V
 = short circuit transfer admittance from part 1 to part 2. 
 
 
 
 
 
 
 
?
?
2
2
21
1
V0
I
y
V
 = short circuit transfer admittance from part 2 to part 1. 
?
?
1
2
22
2
V0
I
y
V
 = short circuit output admittance. 
1
11 12 11 12
21 22 21 22
y y Z Z
y y Z Z
?
? ? ? ?
?
? ? ? ?
? ? ? ?
 
Hybrid parameters 
1 11 1 12 2
V h I h V ??
 
2 21 1 22 2
I h I h V ??
 
In matrix form, 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
V h h I
I h h V
 
?
?
2
1
11
1
V0
V
h
I
 = short circuit input impedance. 
?
?
1
1
12
2
I0
V
h
V
 = open circuit reverse voltage gain. 
?
?
2
2
21
1
V0
I
h
I
 = short circuit forward current gain. 
?
?
1
2
22
2
I0
I
h
V
 = open circuit output admittance. 
Inverse hybrid parameters 
 
 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I g g V
V g g I
 
 
1
11 12 11 12
21 22 21 22
g g h h
g g h h
?
? ? ? ?
? ? ? ?
? ? ? ?
 
Page 3


 
 
 
 
 
 
Impedance Parameters 
1 11 1 12 2
V Z I Z I ??
 
2 21 1 22 2
V Z I Z I ??
 
? ? ? ? ? ?
?
? ? ? ? ? ?
? ? ? ? ? ?
1 11 12 1
2 21 22 2
VZ
In matrix form 
ZI
I
  
V Z Z
 
 
?
??
2
1
11
1
I0
V
Z
I
 open circuit input impedance 
?
??
1
1
12
2
I0
V
Z
I
 open circuit transfer impedance form part 1 to part 2 
?
??
2
2
21
1
I0
V
Z
I
 open circuit transfer impedance form part 2 to part 1. 
?
??
1
2
22
2
I0
V
Z
I
 open circuit output impedance 
 
Admittance parameters 
1 11 1 12 2
I y V y V ??
 
2 21 1 22 2
I y V y V ??
 
In matrix form,  
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I y y V
I y y V
 
?
?
2
1
11
1
V0
I
y
V
 = short circuit input admittance. 
?
?
1
1
12
2
V0
I
y
V
 = short circuit transfer admittance from part 1 to part 2. 
 
 
 
 
 
 
 
?
?
2
2
21
1
V0
I
y
V
 = short circuit transfer admittance from part 2 to part 1. 
?
?
1
2
22
2
V0
I
y
V
 = short circuit output admittance. 
1
11 12 11 12
21 22 21 22
y y Z Z
y y Z Z
?
? ? ? ?
?
? ? ? ?
? ? ? ?
 
Hybrid parameters 
1 11 1 12 2
V h I h V ??
 
2 21 1 22 2
I h I h V ??
 
In matrix form, 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
V h h I
I h h V
 
?
?
2
1
11
1
V0
V
h
I
 = short circuit input impedance. 
?
?
1
1
12
2
I0
V
h
V
 = open circuit reverse voltage gain. 
?
?
2
2
21
1
V0
I
h
I
 = short circuit forward current gain. 
?
?
1
2
22
2
I0
I
h
V
 = open circuit output admittance. 
Inverse hybrid parameters 
 
 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I g g V
V g g I
 
 
1
11 12 11 12
21 22 21 22
g g h h
g g h h
?
? ? ? ?
? ? ? ?
? ? ? ?
 
 
 
 
 
 
 
Transmission parameters 
1 2 2
V AV BI ??
 
1 2 2
I CV DI ??
 
12
12
V A B V
I C D I
? ? ? ? ? ?
?
? ? ? ? ? ?
?
? ? ? ? ? ?
 
 
?
?
2
1
2
I0
V
A
V
 = open circuits voltage ratio 
 
?
?
?
2
1
2
V0
V
B
I
 = negative short circuit transfer impedance. 
 
?
?
2
1
2
I0
I
C
V
 = open circuit transfer admittance. 
 
?
??
2
1
2
V0
I
D
I
 = negative short circuit current ratio. 
Symmetrical & Reciprocal N/w 
For a reciprocal 2-part Network: 
 ?
12 21
ZZ 
 ?
12 21
YY 
 ??
12 21
hh 
 
AD BC 1 ??
 
 ??
12 21
gg 
For a symmetric 2-part network: 
 ?
11 22
ZZ 
 ?
11 22
YY 
 ??
11 22 21 12
h h h h 1 
 A = D 
 ??
11 22 21 12
g g g g 1 
 
 
Page 4


 
 
 
 
 
 
Impedance Parameters 
1 11 1 12 2
V Z I Z I ??
 
2 21 1 22 2
V Z I Z I ??
 
? ? ? ? ? ?
?
? ? ? ? ? ?
? ? ? ? ? ?
1 11 12 1
2 21 22 2
VZ
In matrix form 
ZI
I
  
V Z Z
 
 
?
??
2
1
11
1
I0
V
Z
I
 open circuit input impedance 
?
??
1
1
12
2
I0
V
Z
I
 open circuit transfer impedance form part 1 to part 2 
?
??
2
2
21
1
I0
V
Z
I
 open circuit transfer impedance form part 2 to part 1. 
?
??
1
2
22
2
I0
V
Z
I
 open circuit output impedance 
 
Admittance parameters 
1 11 1 12 2
I y V y V ??
 
2 21 1 22 2
I y V y V ??
 
In matrix form,  
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I y y V
I y y V
 
?
?
2
1
11
1
V0
I
y
V
 = short circuit input admittance. 
?
?
1
1
12
2
V0
I
y
V
 = short circuit transfer admittance from part 1 to part 2. 
 
 
 
 
 
 
 
?
?
2
2
21
1
V0
I
y
V
 = short circuit transfer admittance from part 2 to part 1. 
?
?
1
2
22
2
V0
I
y
V
 = short circuit output admittance. 
1
11 12 11 12
21 22 21 22
y y Z Z
y y Z Z
?
? ? ? ?
?
? ? ? ?
? ? ? ?
 
Hybrid parameters 
1 11 1 12 2
V h I h V ??
 
2 21 1 22 2
I h I h V ??
 
In matrix form, 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
V h h I
I h h V
 
?
?
2
1
11
1
V0
V
h
I
 = short circuit input impedance. 
?
?
1
1
12
2
I0
V
h
V
 = open circuit reverse voltage gain. 
?
?
2
2
21
1
V0
I
h
I
 = short circuit forward current gain. 
?
?
1
2
22
2
I0
I
h
V
 = open circuit output admittance. 
Inverse hybrid parameters 
 
 
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
? ? ? ? ? ?
?
1 11 12 1
2 21 22 2
I g g V
V g g I
 
 
1
11 12 11 12
21 22 21 22
g g h h
g g h h
?
? ? ? ?
? ? ? ?
? ? ? ?
 
 
 
 
 
 
 
Transmission parameters 
1 2 2
V AV BI ??
 
1 2 2
I CV DI ??
 
12
12
V A B V
I C D I
? ? ? ? ? ?
?
? ? ? ? ? ?
?
? ? ? ? ? ?
 
 
?
?
2
1
2
I0
V
A
V
 = open circuits voltage ratio 
 
?
?
?
2
1
2
V0
V
B
I
 = negative short circuit transfer impedance. 
 
?
?
2
1
2
I0
I
C
V
 = open circuit transfer admittance. 
 
?
??
2
1
2
V0
I
D
I
 = negative short circuit current ratio. 
Symmetrical & Reciprocal N/w 
For a reciprocal 2-part Network: 
 ?
12 21
ZZ 
 ?
12 21
YY 
 ??
12 21
hh 
 
AD BC 1 ??
 
 ??
12 21
gg 
For a symmetric 2-part network: 
 ?
11 22
ZZ 
 ?
11 22
YY 
 ??
11 22 21 12
h h h h 1 
 A = D 
 ??
11 22 21 12
g g g g 1 
 
 
 
 
 
 
 
 
Interconnection of 2-part networks 
? For a series connection of two networks 
ab
N & N having z-parameters metric ? ? ? ?
ab
Z & Z
 
??
?? ??
?? ??
??
??
eq a b
Z Z Z 
Z – Parameter matrices are added. 
 
? For a parallel connection of two networks 
ab
N &N having y-parameter matrices ? ? ? ?
ao
y & y
 
? ? ? ?
eq a b
y y y ????
??
 
Y – Parameter matrices are added. 
 
? For a cascade connection of two networks 
ab
N &N having transmission parameters matrices 
? ? ? ?
ab
T & T
 
? ? ? ?
eq a b
T T T ?? ?
??
 
Transmission parameter matrices are multiplied.

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Document Description: Short Notes: Two Port Network for Electrical Engineering (EE) 2024 is part of Short Notes for Electrical Engineering preparation. The notes and questions for Short Notes: Two Port Network have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Short Notes: Two Port Network covers topics like and Short Notes: Two Port Network Example, for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Short Notes: Two Port Network.

Introduction of Short Notes: Two Port Network in English is available as part of our Short Notes for Electrical Engineering for Electrical Engineering (EE) & Short Notes: Two Port Network in Hindi for Short Notes for Electrical Engineering course. Download more important topics related with notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Electrical Engineering (EE): Short Notes: Two Port Network | Short Notes for Electrical Engineering - Electrical Engineering (EE)

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