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
The infinitesimal displacements in cylindrical coordinates are:
Thus, the general infinitesimal displacement is:
The infinitesimal volume element , in cylindrical coordinates, is:
The infinitesimal surface elements , in cylindrical coordinates, is:
The vector derivatives in cylindrical coordinates are:
Gradient:
Divergence:
Curl:
Laplacian:
V 1
∙V 1
T ∂T
∂ 1
∂
∂ 1
∂T
∂φ ∂T
∂z
∂
∂φ ∂ ∂z
∂
∂ ∂
∂z ∂
∂z ∂
∂ 1 ∂
∂ ∂
∂
T 1
∂
∂
∂T
∂ 1 ∂ T
∂φ ∂ T
∂z
Problem:
a) Fide the divergence of the function:
V 2sin φ sinφcosφ 3z
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