Chapter One: Vector Analysis The use of vectors and vector analysis ...

Electromagnetic Theorem
(Dr. Omed Ghareb Abdullah) University of Sulaimani –College of Science – Physics Department
2‐ ∙ 30
3‐ ∙
5|
4‐ ∙ 60
√
√3 1
∙ √3 1 21√3
4 5√3
2 5 2 21
4 27 √3 1
4
Example(19):
Show that the scalar field 10 is not harmonic.
Solution:
10
1
1
1
10 1
20
202
1
10 2 22 2 1
10 1 22
∎ T0 The function is not harmonic.
102 10
102
10
Example(20):
Obtain the spherical coordinates of 10 at the point 3, 2, 4.
Solution:
Giving vector is in Cartesian system say 10
∙ 10 ∙ 10sincos
∙ 10 ∙ 10coscos
∙ 10 ∙ 10sin
3 2 4 √29
tan tan 2 3 33.69
cos cos 4
√29 42.03
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