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Network Elements and the Concept of Circuit

  1. For the 2-port as given below [Ya] =
    2
    0
    mS
    010

    The value
    V0
    is—
    Vs


    1. 3
      3.2
    2. 1
      16
    3. 2
      33
    4. 1
      17
Correct Option: A

Given Ya =
2
0
mS.
010

Its Z-parameter equivalent can be given as
Z =
1
0
2 × 10–3
1
010 × 10–3

=
500
0
0100

The equivalent Z-parameter at terminals AA′ and BB′
Zeq =
500
0
+
100
100
0100100100

=
600
100
100200

or V1 = 600 I1 + 100 I2 (A)
V2 = 100 I1 + 200 I2 (B)
VS = 60 I1 + V1 = 660 I1 + 100 I2 (C)
V2 = V0 = – 300 I2 (D)
and V2 = 100 I1 + 200 I2 (E)
from (D) and (E)
– 300 I2 = 100 I1 + 200 I2
or – 500 I2 = 100 I1
or – 5 I2 = I1

From equation (C)
VS = 660. (– 5 I2) + 100 I2
or VS = – 3300 + 100 I2 = – 3200 I2
Now,
V0
=
–300 I2
=
3
Vs–3200 32

Hence alternative (A) is the correct choice.



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