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
Example: If
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Determine the flux of out of the entire surface of a cylinder 1 ; 0 1.
z
(i)
(iii)
Solution1: There are three surfaces:
Flux through the surface (i):
x
(ii)
y
Φ E ∙ 10 ∙
Flux through the surface (ii):
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1 ; : 0 → 1 ; : 0 → 2
Φ 10 10 π
Φ E ∙ 10 ∙
Flux through the surface (iii):
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0 ; : 0 → 1 ; : 0 → 2
Φ 10 10 π
Φ E ∙ 10 ∙
10
1 ; : 0 → 1 ; : 0 → 2
Φ 10
Flux through all surface of a cylinder:
10
2 1 2π 10π 1
ΦE ∙ 10π 10π 10π 1 0
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