  A particle moving on curved magnetic field lines in the wormhole metrics is
considered. The dynamics of a single particle is studied on a co-rotating
parameterized magnetic field line. Being interested in the force-free dynamics
we choose the rotating Archimedes' spiral embedded in the generalized
Ellis-Bronnikov metrics. By analysing the phase space, we explore how the
physical parameters affect the motion of the particle and it is shown that the
particles may reach the force free regime, eventually escaping the wormhole.
