Question

Consider a Coaxial cable. The center conductor has radius a and its axis coincides with the z axis( region 1, with permeability u1). The outer conductor has inner radius b, outer radius c (where c>b) and its axis also coincide with the z axis( region 3, with permeability u3). The space between the two conductors has permeability u2 (region 2). the center conductor is carrying a DC current \vec{I_{i}}=+\hat{z}I . Find the magnetic flux density \vec{B} in all region. Also plot B as a function of r, assuming that u1=u2=u3=u.

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