  The importance and significance of magnetic fields in the astrophysical
scenario is well known. Many domains of astrophysical black hole physics such
as polarized shadow image, high energy emitting processes and jet formation are
dependent on the behavior of the magnetic fields in the vicinity of the compact
objects. In light of this, we determine the master equation and master
differential equation that determine the spatial behavior of the magnetic field
inside a matter distribution or vacuum region, of general spherically symmetric
metric, which is immersed in a test magnetic field. We also investigate here
the case of JMN-1 singularity immersed in a uniform weak magnetic field and
determine the behavior of magnetic fields by defining electromagnetic four
potential vector. We find that the tangential component of the magnetic field
is discontinuous at the matching surface of the JMN-1 singularity with the
external Schwarzschild metric, resulting in surface currents. We define the
covariant expression of surface current density in this scenario. We also
analyze the behavior of center-of-mass energy of two oppositely charged
particles in the geometry of the magnetized JMN-1 singularity. We briefly
discuss the possible scenarios which would possess a discontinuous magnetic
field and implications of the same and future possibilities in the realm of
astrophysics are indicated.
