  Thermodynamics of the magnetic field coupled Brownian particles is studied.
We show that in the presence of the magnetic field, work can be extracted from
the reservoir even when the measurement operation and the potential change
operation are applied in different spatial directions. In particular, we show
that more work can be extracted if the measurements are applied in two
different directions simultaneously. In all these cases, we show that the
generalized second law involving the measurement information and potential
change is satisfied. In addition, we show how the continuous potential change
and measurement position affect the work extraction.
