Q1:

The equivalent T circuit of this coupled network is shown in figure. Find the values of Z_A, Z_B and Z_C.

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 = (Z_A + Z_C)I₁ + Z_CI₂ Apply KVL to mesh 2 V₂ = (Z_B + Z_C)I₂ + Z_CI₁ Compare equation (i) and (iii) ∴ Z_A + Z_C = 5j and Z_A = 6j ∴ Z_A = - j Compare equation (ii) and (iv) Z_B + Z_C = 8j Z_B + j = 8j Z_B = 2j ∴ Z_A = - j Z_B = 2j Z_C = 6j.