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Which one of the following is the transmission matrix for the network shown in the figure given above?
1 1+yz y z
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1+yz z y 1 -
1 z y 1+yz -
1 1+yz z y -
1 1+yz z y
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Correct Option: C
The given figure:
The transmission matrix is given by:
![]() | ![]() | = | ![]() | ![]() | ![]() | ![]() | ||||
l1 | -l2 | C | D |
V1 = AV2 – BI2 . . . …(i)
and I1 = CV2 – DI2 . . .…(ii)

From figure:
V1 = (I1 + I2) × 1/y
and
V2 = I2z + | ![]() | ![]() | = l2z + | + | |||
y | y | y |
or
I1 = – I2 (1 + yz) + V2y . . . . .…(iii)
and V1 = – I2z + V2 …. . . . .(iv)
On comparing equation (i) and (ii) with (iii) and (iv), we get:
![]() | ![]() | = | ![]() | ![]() | ||||
C | D | y | 1+yz |
Hence alternative (C) is the correct choice.