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  1. Which one of the following is the transmission matrix for the network shown in the figure given above?
    1
    1+yz
    yz


    1. 1+yz
      z
      y1
    2. 1
      z
      y1+yz
    3. 1
      1+yz
      zy
    4. 1
      1+yz
      zy
Correct Option: C

The given figure:

The transmission matrix is given by:

V1
=
V2
A
B
l1-l2CD

V1 = AV2 – BI2 . . . …(i)
and I1 = CV2 – DI2 . . .…(ii)

From figure:
V1 = (I1 + I2) × 1/y
and
V2 = I2z +
I1 + I2
= l2z +
I1
+
I2
yyy

or
I1 = – I2 (1 + yz) + V2y . . . . .…(iii)
and V1 = – I2z + V2 …. . . . .(iv)
On comparing equation (i) and (ii) with (iii) and (iv), we get:
A
B
=
1
z
CDy1+yz

Hence alternative (C) is the correct choice.



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