  In this paper, we study the global well-posedness of the two dimensional
rescaled anisotropic MHD system and also to the hydrostatic MHD with no slip
boundary condition in a strip, for small initial data, which are analytic in
the horizontal variable. We also justify the limit of the MHD system (when
$\epsilon\to 0$ where $\epsilon$ denotes the height of the initial strip) is
given by a couple of a Prandtl like system for the velocity and a magnetic
field equation when the initial data are small and analytic.
