Electromagnetic Theory 55:070
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Electromagnetic Theory 55:070 Professor Karl E. Lonngren [[email protected]] 4312 SC office hours: 12:30 – 1:15 MWF
description
Electromagnetic Theory 55:070. Professor Karl E. Lonngren [[email protected]] 4312 SC office hours: 12:30 – 1:15 MWF. Demonstration in 2005. 207 CC. TA: Qiao Hu 1313 SC [email protected]. - PowerPoint PPT Presentation
Transcript of Electromagnetic Theory 55:070
Electromagnetic Theory55:070
Professor Karl E. Lonngren[[email protected]]
4312 SCoffice hours: 12:30 – 1:15 MWF
Demonstration in 2005
207 CC
TA: Qiao Hu1313 SC [email protected]
Text: “Fundamentals of electromagnetics with MATLAB” 2nd edition/2nd printing SciTech Press
Grading 2 exams @ 100 -------- 200Final exam ---------------- 150Homework ---------------- 50Total ----------------------- 400
Arthur Andersen
who was recently
fired by the Enron
Corp. will audit the
scores and the
addition.
Work together?
Assignments
This is what happens to someone who does not want to learn
electromagnetic theory!
EM Theory• MATLAB & vectors
• static em fields
• mathematics & MATLAB
• Maxwell’s equations
• electromagnetic waves & MATLAB
• transmission lines & MATLAB
• radiation & antennas & MATLAB
example
This course will not be
one of those!
http://www.jsonline.com/story/index.aspx?id=641947
MATLAB
• in the college computers• easy to use & learn• easy to produce 2-d & 3-d plots• ODE & PDE• integrate & differentiate• get pictures – “.m” files in 070 web page• more MATLAB information on the CD
math• >> MATLAB
icon• >> x = 1• x =• 1• >>
• complex numbers• >> y = 1+1j (or 1+ 1i)• y =• 1.0000 + 1.0000i• >> z = x - y• z =• 0 - 1.0000i• >>
• >> x = 1; SAVE SPACE TRICK “ ; “• >> y = 2;• >> z = x * y; % multiply• >> z• z =• 2• >> w = x / y; % divide• >> w• w =• 0.5000
• a = 1ux + 2uy + 3uz
• b = 3ux + 2uy + 1uz
• c = a + b • c = 4ux + 4uy + 4uz
• >> a = [1 2 3];• >> b = [3 2 1];• >> c = a + b;• c =• 4 4 4
vectors - addition
vectors - dot product• a = 1ux + 2uy + 3uz
• b = 3ux + 2uy + 1uz
• a • b = b • a • = 3 + 4 + 3 • = 10
• >> a = [1 2 3];• >> b = [3 2 1];• >> c = dot(a,b)• c =• 10
• d = cross (a,b)• d = • 0 0 1
• e = cross (b, a)• e =• 0 0 -1
vectors - cross producta = 1ux + 0uy + 0uz ==> a = [1 0 0];b = 0ux + 1uy + 0uz ==> b = [0 1 0];
x
y
z
A BB - A
|B - A| = norm(B -A)
• In MATLAB• >>colormap(hot) or cool or • >>whitebg(‘black’) or ‘green’ or • “print screen”• “paint”
simple graph
0 2 4 60
2
4
6
#x
>> x = [1 2 3 4 5]
x=
1 2 3 4 5
>> plot(x)
>> xlabel(‘#’)
>> ylabel(‘value’)
two valuessemicolon
1 2 3 4 51
2
3
4
5
y
x
>>x=[1 2 3 4 5];
>>y=[5 4 3 2 1];
>>plot(x,y,’*’)
>>xlabel(‘x’)
>>ylabel(‘y’)
Add to the graph> clear;clf> x=0:.1:4*pi;> plot(sin(x),'linewidth',3)> hold on> plot(cos(x),'linewidth',3,'linestyle','--')> xlabel('x','fontsize',18)> ylabel('V','fontsize',18)> set(gca,'fontsize',18)> whitebg('black')> 0 50 100 150
-1
0
1
x
V
>>[x,y]=meshgrid(-xa : x : xb,-ya : y : yb)
>>[x,y]=meshgrid(-1:.1:1,-2:.4:4);>>R=(x.^2+(y+1).^2).^.5;
>>Z=(1./R);
>>surf(x,y,Z)
>>view( - 37.5+ 90, 30)
>>[x,y]=meshgrid(-2:.2:2,-2:.2:2);
>>r1=(x.^2+(y-.5).^2).^.5;
>>r2=(x.^2+(y+.5).^2).^.5;
>>V=(1./r1)-(1./r2);
>>mesh(x,y,V)
>>view(-37.5-90,10)
>>colormap(hot)
>>[ex,ey]=gradient(V,.2,.2);
>>quiver(x,y,ex,ey)
>>grid
customize graphs -subplots
Change styles
Iterate labels
-The figures and the examples in the text-Additional programs may be added on an irregular basis
Government regulation may be required such as stop
signs, stoplights, etc.
Babies knows something!
