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Q1.a) Given Z = (2Z₁ - Z₂)/(Z₁ + Z₃ ), where Z₁ = 1 + j3, Z₂ = j10 and Z₃ = 2 - j4. express Z as a complex in polar form.

b) Two impedances, Z₁ = 5∠20° and Z₂ = 4∠ - 15° are connected in series to a supply voltage, v, of 250 volts.(8)

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

i = v/Z, where Z = Z₁ + Z₂. (8)