Consider a sinuosidal signal (t) that can be written as the real part of a complex exponential, i.e., 5п x(t) = 4 cos (8πt + == 4 s (8πt + 5/7 ) = Re { Ac³ (wolt 1 ) {Aei(wot | $)}. (a) What is A? wo? fo? o? (b) Determine and sketch the phasor for this complex exponential in the complex plane. (c) Which way does this phasor rotate? (d) How many seconds will it take this rotating phasor to make one rotation around the circle? (e) At t = 1, which quadrant is the signal in? Use phasor addition to simplify the following expression: x(t) = 10 cos (20πt + 1) + 10 cos (20πt + Find A, fo, and o in the following expression for x(t): 3п +20 cos 20πt $ (20xt - 3/7). Зп x(t) = A cos(2π fot + 0) = Re{Ajbcj2xfot}.

Consider a sinuosidal signal (t) that can be written as the real part of a complex exponential, i.e., 5п x(t) = 4 cos (8πt + == 4 s (8πt + 5/7 ) = Re { Ac³ (wolt 1 ) {Aei(wot | $)}. (a) What is A? wo? fo? o? (b) Determine and sketch the phasor for this complex exponential in the complex plane. (c) Which way does this phasor rotate? (d) How many seconds will it take this rotating phasor to make one rotation around the circle? (e) At t = 1, which quadrant is the signal in? Use phasor addition to simplify the following expression: x(t) = 10 cos (20πt + 1) + 10 cos (20πt + Find A, fo, and o in the following expression for x(t): 3п +20 cos 20πt $ (20xt - 3/7). Зп x(t) = A cos(2π fot + 0) = Re{Ajbcj2xfot}.

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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