A long, straight solid cylinder of radius R2 carries a
current. Although the current
density (i.e., the current per unit cross sectional area) is
symmetrical about the
axis of the cylinder, it is not constant; the current density
is J0 for r < R1, and 2J0
for R1 < r < R2. (The direction of the current is the
same everywhere within the
cylinder.) Find an expression for the magnetic field (a) for r
< R1, (b) for R1 < r <
R2, and (c) outside the cylinder, where r > R2.