Electronics and Communication Engineering - Exam Questions Papers - Discussion

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.