  Throughout the literature on the charged Riemannian Penrose inequality, it is
generally assumed that there is no charged matter present; that is, the
electric field is divergence-free. The aim of this article is to clarify when
the charged Riemannian Penrose inequality holds in the presence of charged
matter, and when it does not.
  First we revisit Jang's proof of the charged Riemannian Penrose inequality to
show that under suitable conditions on the charged matter, this argument still
carries though. In particular, a charged Riemannian Penrose inequality is
obtained from this argument when charged matter is present provided that the
charge density does not change sign. Moreover, we show that such hypotheses on
the sign of the charge are in fact required by constructing counterexamples to
the charged Riemannian Penrose inequality when these conditions are violated.
We conclude by comparing this counterexample to another version of the
Riemannian Penrose inequality with charged matter existing in the literature.
