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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

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