A steady current I flows through a wire of radius a. The current density in a wire varies with r as J = kr2, where k is a constant and r is the distance from the axis of the wire. Find expressions for the magnitudes of the magnetic field inside and outside the wire as a function of r. (Hint: Find the current through an Ampèrian loop of radius r using Ithru = J · dA. Use the following as necessary: μ0, a, I and r. Do not substitute numerical values; use variables only.) Binside = u0·I·r2 2·π·a3 Boutside = u0·I 2·π·r

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