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Q1). (a) The resultant impedance, Z, of two parallel circuits of impedances Z₁ and Z₂ is given by the formula  1/Z =  1/Z₁ +  1/Z₂ .

Calculate the resultant impedance, expressing it in polar form, when Z₁= 4 + j3 and Z₂ = 3-j4. (8)

(b) Given Z =  (2 + j)(5 - j3)/(6 - j7), determine EACH of the following:

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

(ii) the value of Z₄ in its simplest form (3)