Question

Find the common impedances Z12, Z13, Z21, Z23, Z31, Z32 respectively in the circuit shown below.

(a) -j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω, j5Ω

(b) j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω, j5Ω

(c) j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω,- j5Ω

(d) j3Ω, 0Ω, -j3Ω, -j5Ω, 0Ω, j5Ω

I had been asked this question during an online interview.

I'm obligated to ask this question of Mesh Analysis topic in section Steady State AC Analysis of Network Theory

Answer 1

The correct answer is (a) -j3Ω, 0Ω, -j3Ω, j5Ω, 0Ω, j5Ω

To explain: The common impedances Z12 and Z21 are Z12 = Z21 = -j3Ω. The common impedances Z13 and Z31 are Z13 = Z31 = 0Ω. The common impedances Z23 and Z32 are Z23 = Z32 = j5Ω.