Cylindrically symmetric current distribution: Magnetic field in all space

  • #1

Homework Statement



a. An infinite cyclindrically symmetric current distribution has the form
[tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec\hat \phi[/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?

b. An infinite cyclindrically symmetric current distribution has the form
[tex]\vec J (r, \phi, z) = J_0 r^2/R^2 \ \ \ \vec \hat z [/tex] for [tex]R<r<2R[/tex]. Outside the interval, the current is 0. What is the field everywhere in space?




Homework Equations



Ampere's Law
Biot Savart?


The Attempt at a Solution



r<R B = 0

r>2R B= 0

???

I don't know where to start.
 
Last edited:

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