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A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are...

A hollow, circular cylindrical conductor in freespace of infinite length. The inner and outer radius are b and c respectively, from the center z axis. It carries a current I in z direction.
(a) Find the vector current density J.
(b) Use Ampere's Law to find the magnetic field B and H outside the conductor(r>c).
(c) Find B inside the hollow interior(r<b).
(d) Find B in the conductor(b<r<c).

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