electromagnetic theory 55:070
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 PresentationTRANSCRIPT
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Electromagnetic Theory55:070
Professor Karl E. Lonngren[[email protected]]
4312 SCoffice hours: 12:30 – 1:15 MWF
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Demonstration in 2005
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207 CC
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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?
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Assignments
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This is what happens to someone who does not want to learn
electromagnetic theory!
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EM Theory• MATLAB & vectors
• static em fields
• mathematics & MATLAB
• Maxwell’s equations
• electromagnetic waves & MATLAB
• transmission lines & MATLAB
• radiation & antennas & MATLAB
example
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This course will not be
one of those!
http://www.jsonline.com/story/index.aspx?id=641947
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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
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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• >>
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• >> x = 1; SAVE SPACE TRICK “ ; “• >> y = 2;• >> z = x * y; % multiply• >> z• z =• 2• >> w = x / y; % divide• >> w• w =• 0.5000
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• 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
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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
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• 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];
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x
y
z
A BB - A
|B - A| = norm(B -A)
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• In MATLAB• >>colormap(hot) or cool or • >>whitebg(‘black’) or ‘green’ or • “print screen”• “paint”
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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’)
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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’)
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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
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>>[x,y]=meshgrid(-xa : x : xb,-ya : y : yb)
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>>[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)
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>>[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)
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>>[ex,ey]=gradient(V,.2,.2);
>>quiver(x,y,ex,ey)
>>grid
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customize graphs -subplots
Change styles
Iterate labels
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-The figures and the examples in the text-Additional programs may be added on an irregular basis
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Government regulation may be required such as stop
signs, stoplights, etc.
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Babies knows something!
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