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

Electromagnetic Theorem
(Dr. Omed Ghareb Abdullah) University of Sulaimani –College of S
Check: ∙ ∙ ∙ 1
∙ ∙ ∙ 0
; ;
∙
sin cos sin sin cos
cos cos cos sin sin
sin cos 0
An infinitesimal displacement in the direction is:
An infinitesimal element of length in the direction is:
An infinitesimal element of length in the direction is:
sin
Thus, the
general infinitesimal displacement
is:
sin
The infinitesimal volume element , in spherical coordinates, is:
sin
For surface elements
:
1‐ If is constant:
sin
Science – Physics Department