  The Dirac equation is considered in Schwarzschild black hole immersed in an
electromagnetic universe with charge coupling. The equations of the charged
spin-1/2 particle is separated into radial and angular equations by adopting
the Newman-Penrose formalism. The angular equations obtained are similar to the
Schwarzschild geometry. For the radial equations we manage to obtain the one
dimensional Schr\"odinger-type wave equations with effective potentials. Due to
the presence of electromagnetic field from the surroundings, the interaction
with the charged spin-1/2 is considered. Finally, we study the behaviour of the
potentials by plotting them as a function of radial distance and expose the
effect of the external parameter, charge and the frequency of the particle on
them.

General Relativity and Quantum Cosmology