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5 points, wrong answers are penalized. Estimated time: 8 min  Exercice:  W...

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5 points, wrong answers are penalized. Estimated time: 8 min 

Exercice: 

We consider a cylinder of (Oz) axis, a radius R and height H carrying a volume current density  with constante.

The magnetic field created at any point inside and outside the cylinder is along  and depends only on the variable r. 

We give the expression of curl operator in cylindrical system:

 

Using Maxwell-Ampere in steady state, we can deduce that:

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