This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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?...
View
Full
Document
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
 staff

Click to edit the document details