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Q1. (a) Given (2Z₁ - Z₂)/(Z₁ - Z₃ ), where Z₁ = 4 + j5, Z₂ = 3 + j5, Z₃ = 3 + j3, express Z as a complex number in polar form. (8)

(b) Two impedances, Z₁ = 4∠30° and Z₂ = 3∠- 10° are connected in series to a supply voltage, n, of 150 volts.

Calculate the current, i amperes, as a complex number in Cartesian form,

given that i = v/Z  , where Z = Z₁ + Z₂. (8)