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## Homework Statement

Calculate the Characteristic Impedance (Z0) of the two port network?

## Homework Equations

__When port 2 open-circuit,__

*I*2 = 0So,

*Z*11 =

*V*1 /

*I*1

= 40(60) / 100 = 24 Ω

__When__

*I*2 = 0, thus*V*2*V*2 = 40 / 20+40

*V*1 = 0.666

*V*1

*Z*21 =

*V*2 /

*I*1

= 0.666

*V*1 / (

*V*1 / 40-20)

= 0.666

*V*1 / (

*V*1/20) = 0.666

*V*1 :

*V*1/20

= 0.666

*V*1 x 20/

*v*1

= 0.666

*V*1 x 20 /

*V*1

= 13.32

*V*1 /

*V*1

= 13.32 Ω

__Now, when I1 = 0, so:__

*Z*22 =

*V*2 /

*I*2

= 40(60) / 100

= 2400 / 100

= 24 Ω

__When port 2 open circuit,__

*I*1 - 0, so:*V*1 = 40 / (20+40) V2

= 40 / 60

*V*2

= 0.666

*V*2

*I*2 =

*V*2 / 24

*Z*12 =

*V*1 /

*I*2

= 0.666

*V*2 / (

*V*2 / 24)

= 0.666

*V*2 : (

*V*2 / 24)

= 0.666

*V*2 (24/

*V*2)

= 15.984 Ω

AM I CORRECT???

Can someone please help???

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