Question

A long cylindrical wire of radius R, made from a linear material with a magnetic susceptibility of X_m , carries a volume current density J = ks ẑ along the z-axis.

For all below please include magnitude and direction:

(a) Find the auxiliary field H, the magnetic field B, and the magnetization M inside the wire

(b) Find the auxiliary field H, the magnetic field B, and the magnetization M outside the wire

(c) Find the bound current densities J_b and K_b of the wire, and show that the total current passing through the wire at any point is zero

(d) Calculate the magnetic field of B inside and outside the wire without invoking H or M (Hint: use J, J_b, and K_b) Check that this is the same as your answer from part a and b

Answer 1