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Electric circuits miscellaneous

  1. The two-port network P shown in the figure has ports 1 and 2, denoted by terminals (a, b) and (c, d) respectively. It has an impedance matrix Z with parameters denoted by zij . A 1 Ω resistor is connected in series with the network at port 1 as shown in the figure. The impedance matrix of the modified two-port networ k (shown as a dashed box) is
    1. z11 + 1
      z12 + 1
      z21z22 + 1
    2. z11 + 1
      z12
      z21z22 + 1
    3. z11 + 1
      z12
      z21z22
    4. z11 + 1
      z12
      z21 + 1z22

Correct Option: C

Case 1

V1 = Z11 i 1 + Z12 i 2
V2 = Z21 i 1 + Z22 i2
Case 2

Equivalent circuits
For case 1 : Z11

For case 2 :

For case 1 :

For case 2 :

Z21 for case 1 :

For case 2 :

Z22 for case 1 :

For case 2 :

∴ New impedance matrix,

Z' = Z11 + 1
Z12
Z21Z22



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