A straight wire with radius a and magnetic permeability carries a conduction current density j 0
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A straight wire with radius a and magnetic permeability μ carries a conduction current density j0 = j0 ẑ = ẑ /0 πa2.
(a) Find the induced magnetization M and the volume and surface magnetization current densities when the wire is exposed to a uniform external field B0 = B0 x̂.
(b) Show that the Lorentz force F = ∫ d3 r j × B = I0 B0 ŷ, where j is the total current density and B is the total magnetic field.
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