  The question how much surplus of electric charge ("surcharge") fits on an
object is generally very difficult to answer. Here it is shown that it is easy
to answer when the object is a \emph{failed white dwarf} star (a brown dwarf in
its ground state) made of protons and electrons: Given the number of protons,
how many electrons can there be? Surprisingly, the answer (in the form: as few
as $\mathfrak{A}$ and as many as $\mathfrak{B}$) is independent of the speed of
light $c$ and the Planck quantum $h$, even when the star is stabilized against
collapse by relativistic quantum mechanics.
