Chapter One: Vector Analysis The use of vectors and vector analysis ...
Chapter One: Vector Analysis The use of vectors and vector analysis ...
Chapter One: Vector Analysis The use of vectors and vector analysis ...
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Electromagnetic <strong>The</strong>orem<br />
(Dr. Omed Ghareb Abdullah) University <strong>of</strong> Sulaimani –College <strong>of</strong> Science – Physics Department<br />
(c).<br />
x<br />
P3<br />
<br />
1<br />
P3<br />
<br />
x<br />
2<br />
P3<br />
y<br />
P3<br />
y<br />
1<br />
2<br />
P3<br />
z<br />
2<br />
P3<br />
<br />
6<br />
<strong>and</strong><br />
<br />
P3<br />
z<br />
P3<br />
tan<br />
2<br />
1<br />
y<br />
x<br />
P3<br />
P3<br />
tan<br />
1<br />
1<br />
45<br />
1<br />
<br />
<strong>and</strong><br />
<br />
P3<br />
cos<br />
1<br />
2<br />
35.26<br />
6<br />
P<br />
3 (<br />
<br />
6,45 ,35.26 )<br />
Example(17):<br />
Express <strong>vector</strong> <br />
in Cartesian coordinates.<br />
Solution:<br />
<br />
<br />
<br />
<br />
0<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
1<br />
But: ; <br />
<br />
sin <br />
cos <br />
<br />
sin <br />
<br />
cos <br />
<br />
<br />
<br />
<br />
; tan <br />
<br />
10 <br />
∙ <br />
<br />
<br />
<br />
<br />
10 <br />
∙ <br />
<br />
<br />
<br />
10<br />
<br />
<br />
<br />
<br />
Example(18):<br />
If ∅ evaluate ∮ . around the path shown in Figure:<br />
Solution:<br />
<br />
∙ <br />
<br />
<br />
<br />
<br />
<br />
<br />
∙ <br />
<br />
<br />
<br />
<br />
<br />
<br />
1‐ ∙ <br />
<br />
<br />
<br />
2| √3 1<br />
68