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Q1. (a) Given Z = ((1 - j)(5 + j3))/(3 - j5), determine EACH of the following:

(i) Z in the form a + jb, where a and b are real numbers; (5)

(ii) the value of Z³ in its simplest form.   (3)

(b) The impedance, Z, of an electronic circuit is given by Z = 4 - j7 ohms and the current, I, is given by I = 8 + j3 amps.

Determine, in polar form, the voltage, V, across the impedance, given V = iZ. (8)