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QI Find the magnitude, phase, real part, and imaginary part of the complex signal elw x(w) = %3D (jw+1)(jw+3)

QI Find the magnitude, phase, real part, and imaginary part of the complex signal elw x(w) = %3D (jw+1)(jw+3)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1 Find the magnitude, phase, real part, and imaginary part of the complex signal x (ω)- elw (jw+1)(jw+3) Q2 Using the complex plane: (a) Evaluate and locate the distinct solutions to (w)ª =-1. (b) Evaluate and locate the distinct solutions to (w-(1+j2))5 = (32/N2)(1+j). (c) Sketch the solution to |w-2j| = 3. (d) Graph the magnitude and phase of w(t) = (1+t)e for (-10<t< 10). Q3 Given z,=(3+j4)² and z,= 2.5je-i40x a. Find z,+z b. Find the magnitude and phase of z,z2 Q4 The distinct solutions to (z-z,)"= z, lie on a circle in the complex plane, as shown below. One solution is located on the real axis at V3+1 = 2.732, and one solution is located on the imaginary axis at v3–1=0.732. Determine z,, z2, and n.
Transcribed Image Text:Q1 Find the magnitude, phase, real part, and imaginary part of the complex signal x (ω)- elw (jw+1)(jw+3) Q2 Using the complex plane: (a) Evaluate and locate the distinct solutions to (w)ª =-1. (b) Evaluate and locate the distinct solutions to (w-(1+j2))5 = (32/N2)(1+j). (c) Sketch the solution to |w-2j| = 3. (d) Graph the magnitude and phase of w(t) = (1+t)e for (-10<t< 10). Q3 Given z,=(3+j4)² and z,= 2.5je-i40x a. Find z,+z b. Find the magnitude and phase of z,z2 Q4 The distinct solutions to (z-z,)"= z, lie on a circle in the complex plane, as shown below. One solution is located on the real axis at V3+1 = 2.732, and one solution is located on the imaginary axis at v3–1=0.732. Determine z,, z2, and n.
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