Lecture (L7-1,2) Sine Waves and Phasors
- Due Nov 20, 2015 by 11:59pm
- Points None
There are no required video lectures for today, although the videos below will be useful references. We will cover sine waves and complex numbers in class.
Here are some MATLAB files you can use to generate plots of sinusoids and phasors:
Matlab code to plot a sine wave (you can change F,A,phi, etc.) cosine time domain plot.m Download cosine time domain plot.m
The following files illustrate how a sinusoid corresponds to the shadow of rotating stick (that represents a phasor):
PhasorMovie0.m Download PhasorMovie0.m Matlab code to generate picture of rotating stick
PhasorMovie0.mpg Download PhasorMovie0.mpg Movie of rotating stick. Shadow on real axis is Acos(wt+phi).
PhasorMovie.m Download PhasorMovie.m Matlab code to generate picture of rotating stick and the waveform of the shadow on the real axis over time. Phasor is picture of stick at time t = 0.
PhasorMovie.mpg Download PhasorMovie.mpg Movie of rotating stick shadow plotted over time.
three_D.m Download three_D.m Matlab code to make a 3-D plot projected onto 2-D display.
Reference videos on complex numbers:
Chapter 7-1 in Ulaby Textbook:
Review Complex Numbers:
http://www.youtube.com/watch?v=5Duylj_qRL0
Links to an external site.
Review Polar & Rectangular Forms
http://www.youtube.com/watch?v=X7LYuxoCLag
Links to an external site.
Review the complex exponential
http://www.youtube.com/watch?v=dNjJqrgWTgA
Links to an external site.
Review the nuances of j
http://www.youtube.com/watch?v=j-TO7TDOFc8Characteristics of Sine Waves
http://www.youtube.com/watch?v=I6CbhlHz6TM
Links to an external site.
Example of complex number calculations
http://www.youtube.com/watch?v=PJeSuINR3jQ
Links to an external site.
RMS Root Mean Squared
http://www.youtube.com/watch?v=Lk07dUSi948
Links to an external site.
Chapter 7-2 in Ulaby Textbook:
The Phasor
http://www.youtube.com/watch?v=wQE9FVX1GaU
Links to an external site.
Example Trig using phasors
http://www.youtube.com/watch?v=9zuZib4mi1A
Links to an external site.
Introduction to the Impedance of a Resistor
http://www.youtube.com/watch?v=gB0V4pyEeyk
Links to an external site.
Impedance of an Inductor
http://www.youtube.com/watch?v=vYgkuLMxtJ8
Links to an external site.
Impedance of a Capacitor
http://www.youtube.com/watch?v=uU6I7lkKNXw
Links to an external site.
Reference Material: