  The fundamental metrics, which describe any static three-dimensional
Einstein-Maxwell spacetime (depending only on a unique spacelike coordinate),
are found. In this case there are only three independent components of the
electromagnetic field: two for the vector electric field and one for the scalar
magnetic field. It is shown that we can not have any superposition of these
components of the electric and magnetic fields in this kind of static
gravitational field. One of the electrostatic Einstein-Maxwell solutions is
related to the magnetostatic solution by a duality mapping, while the second
electrostatic gravitational field must be solved separately. Solutions induced
by the more general (2+1)-Maxwell tensor on the static cylindrically symmetric
spacetimes are studied and it is shown that all of them are also connected by
duality mappings.
