Exact fields of electrostatic and magnetostatic multipoles

We show that the n-th. order terms in the multipole expansions of the scalar potential, electrostatic field, vector potential, and magnetostatic field depend on time independent electric charge and current densities, ρ(r) and j(r), only through suitably constructed electric and magnetic multipole moment vectors, ρ (n) (r) and M(n) (r)...We calculate the explicit forms of M(n), A(n) and B (n) for the example of a circular loop carrying a current I: (Author)