The complex impedance of two circuit elements in series as shown in Figure 3.22 (a) is the sum of the complex impedances of the individual elements, and the reciprocal of the impedance of two elements in parallel is the sum of the reciprocals of the individual impendances, as shown in Figure 3.22(b). Use these results to calculate the complex impedance of the network shown in Figure 3.23, where Z₁ = 1 + jΩ, Z₂ = 5 – j5Ω and Z₃ = 1 + j2Ω.

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(a) N Z (b) Figure 3.22 N Z Z N Z Figure 3.23 N Z Z N Zz - Z=Z + Z -= +