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Network Elements and the Concept of Circuit

  1. Calculate the Y parameter for the given network—


    1. 2.5
      3.5
      1.54.5
    2. 2.5
      3.5
      0.53.5
    3. 1.5
      3.0
      1.04.5
    4. None of these
Correct Option: B

Given network

Y-parameter for network

Standard equations of Y-parameters are
I'1 = Y'11 V1 + Y'12 V2 ........(i)
I'2 = Y'21 V1 + Y'22 V2 .......(ii)
I'1 = – I'2 (from above circuit) ...........(iii)

Y'11 =
I1
V1v2 = 0


From above circuit V1 = 2 I'1 or
I'1
=
1
= 0.5 mho
V12

or Y'11 = 0.5 mho
Y'12 =
I1
V2v1 = 0

V2 = I'2 2
or V2 = – I'1 2
Y'12 =
I1
= –
1
= – 0.5 mho
V22

Similarly
Y'21 =
I'2
V1v2 = 0


or Y'21 = – 0.5 mho and
Y'22 =
I2
V2v1 = 0

or Y'22 = 0.5 mho.
Now,
Y' =
0.5
–0.5
and
–0.50.5

The new Y parameter
Y = Y' + Y''
or Y =
0.5
–0.5
2
4
–0.50.513

or Y =
2.5
3.5
and
0.53.5



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