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  1. The equivalent T circuit of this coupled network is shown in figure. Find the values of ZA, ZB and ZC.

    2. A.
    -j, 6j, 2j
    B.
    -j, 2j, 6j
    C.
    j, 2j, - 6j
    D.
    j, 2j, 6j

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    Answer : Option B

    Explanation :

    Use mesh analysis for the coupled network

    Apply KVL at loop 1

    V1 = 5jI1 + 6jI2

    Apply KVL to loop 2

    V2 = 8jI2 + 6jI1

    Consider given T network

    Apply KVL to mesh 1

    V1 = (ZA + ZC)I1 + ZCI2

    Apply KVL to mesh 2

    V2 = (ZB + ZC)I2 + ZCI1

    Compare equation (i) and (iii)

    ∴ ZA + ZC = 5j and ZA = 6j

    ∴ ZA = - j

    Compare equation (ii) and (iv)

    ZB + ZC = 8j

    ZB + j = 8j

    ZB = 2j

    ∴ ZA = - j ZB = 2j ZC = 6j.

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