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 />
<strong>The</strong> Divergence:<br />
Del operator act on a <strong>vector</strong> function , via the dot product.<br />
∙V ∙ <br />
<strong>The</strong> result is scalar.<br />
∙V <br />
<br />
<br />
<br />
<strong>The</strong> divergence is measure, how much the <strong>vector</strong> spreads out.<br />
Positive Divergence<br />
Zero Divergence<br />
Positive Divergence<br />
Example:<br />
Calculate the divergence <strong>of</strong> the following <strong>vector</strong> functions:<br />
a/ <br />
∙ 1113<br />
<br />
b/ 2 2 <br />
∙ 2 2 0222<br />
<br />
Problem:<br />
Compute the divergence <strong>of</strong> ̂<br />
<br />
∙ <br />
∙ / / / <br />
11
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