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Unformatted text preview: ENEE 241 02* HOMEWORK ASSIGNMENT 2 Due Tue 02/10 Please turn in the two problems separately, with your name and section number on each sheet (or set of sheets). Problem 2A Do not use a calculator for this problem. Express your answers using square roots and/or fractional multiples of . Throughout this problem, let u =- 3 + j and v =- 1- j (i) (2 pts.) Express each number in the form re j . Plot both numbers on the complex plane. (ii) (4 pts.) Let a be real. Determine, in terms of a , the real and imaginary parts of the complex number w = a + j u + v For what value(s) of a is w purely imaginary? (iii) (5 pts.) Determine the roots of the equation z 6- v 2 = 0 and plot them on the complex plane. Are there any conjugate pairs among the roots? (iv) (3 pts.) Sketch the circle described by the equation | z- u | = 1 Determine the points of intersection (if any) of this circle and the two axes, real and imaginary. (v) (3 pts.) Sketch the line described by the equation | z- v | = | z | Where does this line intersect the two axes? What is the value of its slope?...
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This note was uploaded on 10/18/2011 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.
- Spring '08