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

More documents

Recommendations

Info

Electromagnetic Theorem (Dr. Omed Ghareb Abdullah) University of Sulaimani –College of Science – Physics Department ∙V 1 ∂ ∂r 1 sin ∙V 1 ∂ ∂r 1 sin ∂ ∂θ sin 1 sin ∂ ∂θ 0 1 sin ∙V 1 4 4 ∂ ∂φ ∂ ∂φ 0 ∙ 4 sin 4 sin 4 22 4 4 V ∙ ∙ sin At surface of sphere . sin 4π Problem: Check the divergence theorem for the function , using as your volume the sphere of radius , centered at the origin. Divergence theorem state: ∙ ∙V 1 ∂ ∂r 1 sin ∙V 1 ∂ ∂r 1 1 sin V ∙ ∂ ∂θ sin ∙V 0 ∙ 0 1 sin ∂ ∂θ 0 1 sin ∂ ∂φ ∂ ∂φ 0 V ∙ 1 ∙ sin 40
Electromagnetic Theorem (Dr. Omed Ghareb Abdullah) University of Sulaimani –College of Science – Physics Department sin 4π They don’t agree!!!!! !! Problem: Compute the divergence of the function: cos sin sin cos Check the divergencee theorem for this function, using as your volume the inverted hemispherical bowl of radius , resting on the plane and centered at the origin. Divergence theorem state: ∙ V ∙ 1 ∂ ∙V ∂r 1 ∂ sin ∂θ sin 1 ∂ sin ∂φ 1 ∂ 1 ∂ ∂r cos sin ∂θ si 1 ∂ in sin sin ∂φ sin cos 1 1 1 3 cos 2 sincos sin sin sin sin 3 cos 2 cos sin 5 cossin ∙ 5 cos sin sin / 5 cos sin sin / 3 5 coscos 2 0 sin
Page 1 and 2: Electromagnetic Theorem (Dr. Omed G
Page 39: Electromagnetic Theorem (Dr. Omed G
Page 75: Electromagnetic Theorem (Dr. Omed G

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

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?