Unformatted text preview: j ) using (i) Cartesian forms; and (ii) polar forms, throughout your calculation. S 1.2 Consider the complex number z = 1 + 2 j 3-jb Determine the value(s) of b for which (i) z is purely real; (ii) z is purely imaginary; (iii) z has modulus equal to √ 2 / 2. S 1.3 If z = (3 / 5) + j (9 / 10), express z 17 in polar form ( r, θ ), where θ ∈ [0 , 2 π ). S 1.4 On the complex plane, sketch the curves given by the following equations: (i) | z-1 + j | = 1 (ii) | z-2 | = | z-3 j | Using geometry, determine the minimum value of | z | in each case (i.e., as z traces out each curve)....
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- Spring '08
- pts, Complex number, polar form, quadratic polynomial t2