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  1. The circuit shown in the above figure
    1. is reciprocal
    2. has Z11 = 2, Z22 = 2
    3. has Z11 = 4, Z22 = 2
    4. has Z11 = 0, Z22 = 2
    Select the correct answer using the code given below—


    1. 1 and 3
    2. 1 and 2
    3. 1 and 4
    4. 3 only
Correct Option: A

The given circuit:

Applying KVL in the input side, we get
V1 = 2I1 + I1.1 + (I1 + I2).1
or
V1 = 4I1 + I2 …. . . .(i)
Again applying KVL in the output side, we get
V2 = I2.1 + (I1 + I2).1
or
V2 = I1 + 2I2. . . . …(ii)
From equation (i) and (ii):
Z11 = 4Ω, Z12 = 1Ω
Z21 = 1Ω, Z22 = 2Ω
For the network to be reciprocal
Z12 = Z21 (Here Z11 = Z12 = 1Ω)
So, network is reciprocal
and
Z11 = 4Ω, Z22 = 2Ω
Therefore, statements 1 and 3 are correct.
Hence alternative (A) is the correct choice.



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