(Solution) - An infinitely long thick cylindrical shell of inner radius a -(2025 Original AI-Free Solution)

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An infinitely long, thick cylindrical shell of inner radius a and outer radius b carries a current I uniformly distributed across a cross section of the shell.
(a) On a sketch of a cross section of the shell, draw some magnetic field lines. The current flows out of the page. Consider all regions ( r ? a, a ? r ? b, b ? r ).

(b) Find the magnetic field for r > b.