Question

a) Currents entering port 1 and port2 of a two port network are given by the following

equations

l_{1}=0.5V_{1}-0.2V_{2}

I_{2}=-0.2V_{1}-V_{2}

Find Zand ABCD parameters. ​

Answer 1

Answer:

The Z parameters of a two-port network are given by the ratio of the output current to the input voltage. The ABCD parameters are also known as the transmission parameters of a two-port network, and they describe the relationship between the input and output voltage and current of the network.

To find the Z parameters, we can use the following equations:

Z11 = V1/I1 = (0.5V1 - 0.2V2)/I1 = 0.5

Z12 = V1/I2 = (0.5V1 - 0.2V2)/(-0.2V1 - V2) = -0.2

Z21 = V2/I1 = (-0.2V1 - V2)/I1 = -0.2

Z22 = V2/I2 = (-0.2V1 - V2)/(-0.2V1 - V2) = 1

So the Z parameters of the two-port network are:

Z = [0.5, -0.2; -0.2, 1]

To find the ABCD parameters, we can use the following equations:

A = (Z11 + Z12Z22(1/Z21)) = (0.5 + (-0.21(1/-0.2))) = 0.5

B = (Z22*(1/Z21)) = (1*(1/-0.2)) = -5

C = (1/Z21) = (1/-0.2) = -5

D = (1 + Z12Z22(1/Z21)) = (1 + (-0.21(1/-0.2))) = 0.5

So the ABCD parameters of the two-port network are:

ABCD = [0.5, -5; -5, 0.5]