THE SHAPE OF A MAGNETIC ARCADE EMBEDDED IN THE SOLAR CORONA

We have generated two-dimensional magnetic arcades, with invariance al ong the longitudinal axis, by solving, together, the Grad-Shafranov eq uation and the pressure balance equation at the boundary between the a rcade and the corona. We have used a particular class of magnetic fiel ds in which the slope of the magnetic field lines only depends on one coordinate and, with this approach, we have been able to obtain genera l expressions for the magnetic field components, which only depend on the gas pressure profile, without the need to know the analytical expr ession for the flux function. These expressions for the magnetic field components have allowed us to generate potential and non-potential fi elds and to obtain some conclusions about the half-width, height and m agnetic flux of the different arcades.