  We investigate the issue of charge neutrality of the CFL$K^0$ phase of dense
quark matter using the low energy effective theory of high density QCD. We show
that the local electric and color charge neutrality of the ground state in a
homogeneous color superconducting medium follows from its dynamics. We also
consider the situation of a spatially inhomogeneous medium, such as may be
found in a neutron star core. We find that spatial inhomogeneity results in the
generation of electric fields, and positrons/electrons may be present in the
ground state. We estimate the concentration of charged leptons in the ground
state to be $n_{e}\sim{10^2}{cm}^{-3}$ and consider their influence on the
opacity of the medium with respect to the modified photons.
