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
Solution:
The Gradient theorem state:
∙
T ∂T
∂r 1
∂T
∂θ
1
sin
∂T
∂φ
T cos sin cos sin cos cos 1
sin sin sin
cos sin cos sin cos cos sin
Segment (1):
; 0 ; : 0 →2
; T∙ cos sin cos 01
T∙
2
Segment (2):
; 2 ; : 0 →
sin 2 ; T∙ sin2 2sin
/
T∙ 2sin
2cos| / 2
Segment (3):
2 ;
; : →0
2 ; T∙ sin cos cos 2 2sin
Total:
Mean while;
T∙ 2sin
/
T∙
2cos| /
2222
2
0 ; 2 ; 2
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