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Q1. (a) Forces and F₁ = 5 + j4x, F₂ = 3y - j5,F₃ = 7x - j17 and F₄ = - 20 - j5y are represented by complex numbers in rectangular form.

Given that the four forces are in equilibrium, determine the value of EACH of the real numbers x and y. (8)

(b) Impedances, Z₁ = 2 + j5 and Z₂ = 4 - j7are connected in series to a supply voltage, v, of 230 volts.

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

i = v/Z where Z = Z₁ + Z₂.(8)