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Determine Y-parameter for the circuit given in the figure.

The circuit is given in the figure.

enter image description here

1 Answer
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Solution:

enter image description here

I1(s)=a+bV1(s)Vx(s)1=Vx(s)2+Vx(s)V2(s)22V1(s)2Vx(s)=2Vx(s)V2(s)4Vx(s)=2V1(s)+V2(s)Vx(s)=12V1(s)+14V2(s)....(1) KCL at node (2)I2(s)+b=CI2(s)=cbI2(s)=V2(s)4[Vx(s)V2(s)2]=14V2(s)+12V2(s)12Vx(s)=34V2(s)12Vx(s)....(2)

put eqn (1) in (2),

I2(s)=34V2(s)12[12V1(s)+14V2(s)]=34V2(s)14V1(s)18V2(s)I2(s)=14V1(s)+58V2(s)...(3)

from fig.

I1(s)=V1(s)Vx(s)1=V1(s)Vx(s)...(4)

put equation (1) in (4)

I1(s)=V1(s)[12V1(s)+14V2(s)]I1(s)=12V1(s)14V2(s)....(5)

from eqn (3) and (5) Required Y-parameter are [ y11y12y21y22 ]=[ 1/21/41/45/8 ] 

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