  We pursue a coherent analysis of hyperbolically symmetric static sources by
extending the work of Herrera \cite{26} to the case of electromagnetic field.
We deeply analyze the impact of such a force on the physical characteristics of
the hyperbolically symmetric spacetime under consideration. Setting off the
Einstein's gravitational equations, we particularize the stress-energy tensor
by keeping in mind the constituents of tetrad field in Minkowski coordinate
system. Hyperbolically symmetric source has a vacuole in the vicinity of its
center, i.e., such a distribution is unable to fill the central zone of
symmetry. In all the stellar expressions, the energy density of the source
comes out to be negative which demonstrates that quantum effects must be
involved along with certain extreme restrictions to explicate any physical
application of such a hyperbolically symmetric source. Various explicit exact
solutions along with their corresponding generating functions are also worked
out.
