  Weyl semimetals (WSM) are a new class of topological materials that exhibit a
bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral
magnetic effect due to inversion symmetry breaking. These unusual
electromagnetic responses can be characterized by an axion term $\theta
\textbf{E} \cdot \textbf{B}$ with space and time dependent axion angle $\theta
(\textbf{r} ,t)$. In this paper we compute the electromagnetic fields produced
by an electric charge near to a topological Weyl semimetal with two Weyl nodes
in the bulk Brillouin zone. We find that, as in ordinary metals and
dielectrics, outside the WSM the electric field is mainly determined by the
optical properties of the material. The magnetic field is, on the contrary, of
topological origin in nature due to the magnetoelectric effect of topological
phases. We show that the magnetic field exhibits a particularly interesting
behavior above the WSM: the field lines begin at the surface and then end at
the surface (but not at the same point). This behavior is quite different from
that produced by an electric charge near the surface of a topological
insulator, where the magnetic field above the surface is generated by an image
magnetic monopole beneath the surface, in which case, the magnetic field lines
are straight rays. The unconventional behavior of the magnetic field is an
experimentally observable signature of the anomalous Hall effect in the bulk of
the WSM. We discuss a simple candidate material for testing our predictions, as
well as two experimental setups which must be sensitive to the effects of the
induced magnetic field.
