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\begin{figure}\centerline{ \psfig{file=problems/problem_00004.eps,height=2.5in} }\end{figure}

A cylindrical long straight wire of radius $R$ has a cylindrical long straight hold of radius $b = R/2$ and carries a current density of $\vec{\bf J}$ into the page as drawn. Find the magnitude of the magnetic field for arbitrary $r > R$ (region I) and $r<R$ (region II). Indicate the direction of the magnetic field in these regions on the diagram above.

Robert G. Brown 2003-02-09