  We consider a dilute suspension of active (self-propelling) particles in a
visco-elastic fluid. Particles are charged and constrained to move in a two
dimensional harmonic trap. Their dynamics is coupled to a constant magnetic
field applied perpendicular to their motion via Lorentz force. Due to the
finite activity, the generalised fluctuation-dissipation relation (GFDR) breaks
down, driving the system away from equilibrium. While breaking GFDR, we have
shown that the system can have finite classical orbital magnetism only when the
dynamics of the system contains finite inertia. The orbital magnetic moment has
been calculated exactly. Remarkably, we find that when the elastic dissipation
time scale of the medium is larger (smaller) than the persistence time scale of
the self-propelling particles, the system is diamagnetic (paramagnetic).
Therefore, for a given strength of the magnetic field, the system undergoes a
novel transition from diamagnetic to paramagnetic state (and vice-versa) simply
by tuning the time scales of underlying physical processes, such as, active
fluctuations and visco-elastic dissipation. Interestingly, we also find that
the magnetic moment, which vanishes at equilibrium, behaves non-monotonically
with respect to increasing persistence of self-propulsion, that drives the
system out of equilibrium
