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 />
If the surface is closed, in which case I shall again put a circle on the integral signs:<br />
<br />
∙ <br />
Example:<br />
Calculate<br />
the surface<br />
integral <strong>of</strong><br />
2 2 3 <br />
over five sides<br />
(excluding the bottom) <strong>of</strong> the cubical box ( side 2 ) in Fig.<br />
(i)<br />
2 ;<br />
<br />
⟹<br />
∙ 2 4 <br />
<br />
<br />
(ii)<br />
∙ 4<br />
<br />
<br />
16<br />
<br />
0 ; <br />
⟹<br />
∙ 2<br />
0<br />
<br />
∙ 0<br />
(iii)<br />
2<br />
; <br />
⟹<br />
∙ <br />
2 <br />
<br />
<br />
∙ <br />
2 12<br />
<br />
<br />
(iv)<br />
0<br />
; <br />
⟹<br />
∙ 2 <br />
<br />
<br />
∙ <br />
2 12<br />
<br />
<br />
(v)<br />
2 ; <br />
<br />
<br />
⟹<br />
∙ 3
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