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Q1. (a) Impedances Z₁ = 10∠60°ohmsand Z₂ = 2∠ - 30°ohmsareconnected in parallel to a voltage supply, v, of 200 volts.

Calculate the current, I amperes, as a complex number in cartesian form,

Given that i = v/Z when Z = (Z₁ Z₂)/(Z₁ + Z₂)     (10)

(b) Solve the following complex equation for x and y:

1/(0.2x - jy) = (3 - j)/(2 + j5)                  (6)