Steady-state ambipolar and Ohmic Elsasser numbers, as a function of location in the disk, for the fiducial model described in Sect. 5. In both panels, the red hatched area corresponds to the MRI-active layer. Additionally, the dashed white lines correspond to the surfaces z = 1 H_gas, z = 2 H_gas, z = 3 H_gas, and z = 4 H_gas, from bottomto top, respectively. Panel (a): Ambipolar Elsasser number, Am. The region within the solid white lines indicates where Am ≥ 0.1. The region within the solid black contour indicates where Am ≥ 1. Panel (b): Ohmic Elsasser number, Λ. The solid black line indicates where Λ = 1.