(a) Show that the magnetic dipole moment of a magnetized body can be written where (r) =...

(a) Show that the magnetic dipole moment of a magnetized body can be written

where ρ∗(r) = −∇ ·M(r) is the density of fictitious magnetic charge.(b) Let B₁ and B₂ be the magnetic fields produced by bodies with magnetizations M₁ and M₂, respectively. Use the fact that magnetization current density is as “real” as electric current density to show that the potential energy of interaction between the two bodies satisfies the reciprocity relation

(c) If the two bodies in part (b) are solid and cannot overlap in space, show that

Transcribed Image Text:

m= [d³r rp* (r),