  In the Abelian Higgs model electric (and magnetic) fields of external charges
(and currents) are screened by the scalar field. In this contribution,
complementing recent investigations of Ishihara and Ogawa, we present a
detailed investigation of charge screening using a perturbative approach with
the charge strength as an expansion parameter. It is shown how perfect global
and remarkably good local screening can be derived from Gauss' theorem, and the
asymptotic form of the fields far from the sources. The perturbative results
are shown to compare favourably to the numerical ones.
