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Current I1 and I2 entering at 1 and port 2 respectively of two port network are given by following equation. I1 =0.5V1 - 0.2V2 I2 = -0.2V1 +V2 Obtain T and Π(pi) representation.
written 4.5 years ago by gravatar for teamques10 teamques10 ★ 70k •   modified 4.5 years ago
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written 4.5 years ago by gravatar for teamques10 teamques10 ★ 70k

TT(pi) network  

Applying KCL at node 1

$I_1=Y_1V_1+Y_2\left(V_1-V_2\right)=\left(Y_1+Y_2\right)V_1-Y_2V_2 $

Applying KCL at node 2

$I_2=Y_3V_2+Y_2\left(V_2-V_1\right)=\ -Y_2V_1+\left(Y_2+Y_3\right)V_2 $

Comparing the above equation with given equations

$Y_1+Y_2=0.5,\ \ \ Y_2+Y_3=1,\ \ \ Y_2=0.2\mho{} $

$\therefore{}Y_1=0.3\mho{},\ \ \ Y_3=0.8\mho{} $

 

 

For converting a TT N/W into equivalent T N/W we can use delta-star …

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