  Magneto-static models may overcome some of the issues facing force-free
magnetic field extrapolations. So far they have seen limited use and have faced
problems when applied to quiet-Sun data. Here we present a first application to
an active region. We use solar vector magnetic field measurements gathered by
the IMaX polarimeter during the flight of the \sunrise{} balloon-borne solar
observatory in June 2013 as boundary condition for a magneto-static model of
the higher solar atmosphere above an active region. The IMaX data are embedded
in active region vector magnetograms observed with SDO/HMI. This work continues
our magneto-static extrapolation approach, which has been applied earlier ({\it
Paper I}) to a quiet Sun region observed with \sunrise{} I. In an active region
the signal-to-noise-ratio in the measured Stokes parameters is considerably
higher than in the quiet Sun and consequently the IMaX measurements of the
horizontal photospheric magnetic field allow us to specify the free parameters
of the model in a special class of linear magneto-static equilibria. The high
spatial resolution of IMaX (110-130 km, pixel size 40 km) enables us to model
the non-force-free layer between the photosphere and the mid chromosphere
vertically by about 50 grid points. In our approach we can incorporate some
aspects of the mixed beta layer of photosphere and chromosphere, e.g., taking a
finite Lorentz force into account, which was not possible with lower resolution
photospheric measurements in the past. The linear model does not, however,
permit to model intrinsic nonlinear structures like strongly localized electric
currents.
