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 />
Problem:<br />
Test the divergence theorem for the function:<br />
2 3 <br />
Take as your volume the cube shown in Fig., with sides <strong>of</strong> length (2).<br />
Solution:<br />
<strong>The</strong> fundamental theorem for divergences state that:<br />
<br />
∙ <br />
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<br />
∙ <br />
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∙ <br />
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∙ <br />
∙<br />
<br />
∙ V ∙ <br />
∙ 23<br />
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<br />
<br />
<br />
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2 4 6 <br />
∙ 8 16 <br />
∙ 4 16<br />
2 0<br />
∙163248<br />
<br />
<br />
2<br />
3 <br />
<br />
<br />
23 <br />
<br />
2<br />
<br />
<br />
<br />
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<br />
46 2 0
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