(a) Show that the electromagnetic angular momentum for static fields in the Coulomb gauge is

(b) Evaluate LEM when a point electric dipole p sits at the origin in the presence of a static magnetic field B(r).

(c) An axially symmetric charge distribution rotates around its symmetry axis with frequency ω. Prove that the magnetic total energy can be expressed as

Transcribed Image Text:

LEM = f d³r p(r)r × A(r). x