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Exam Questions Papers - Engineering

Q1:

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

A -j, 6j, 2j

B -j, 2j, 6j

C j, 2j, - 6j

D j, 2j, 6j

ANS:B - -j, 2j, 6j

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.