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 />
Cylindrical Coordinates:<br />
<strong>The</strong> cylindrical coordinates , , <strong>of</strong> a point are defined in Fig.<br />
: is the<br />
distance from the z‐axis.<br />
∶<br />
∶<br />
0 ⟶ ∞<br />
0 ⟶ 2<br />
∶<br />
∞ ⟶ ∞<br />
<strong>The</strong>ir relation to Cartesian coordinates , , is:<br />
cos<br />
sin<br />
<br />
<br />
<br />
Any <strong>vector</strong> can be expressed as:<br />
<br />
, & are unit <strong><strong>vector</strong>s</strong>, pointing in the direction <strong>of</strong><br />
increase <strong>of</strong><br />
the corresponding<br />
coordinates. In terms<br />
<strong>of</strong> the Cartesian unit <strong><strong>vector</strong>s</strong>:<br />
cos<br />
sin<br />
<br />
sin cos <br />
<br />
∙<br />
<br />
<br />
<br />
<br />
cos <br />
sin <br />
0<br />
<br />
sin <br />
cos <br />
0<br />
<br />
0<br />
0<br />
1
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