In order to study the quiet time proton flow and magnetic field in the inner plasma sheet resulting from electric and magnetic drifts, we incorporate a modified version of the Magnetospheric Specification Model with a modified Tsyganenko 96 magnetic field model to self-consistently simulate plasma sheet protons and magnetic fields with two-dimensional force balance maintained along the midnight meridian. The resulting equatorial proton flows and pressures agree very well with observations quantitatively. Because of this agreement, the simulated force-balanced magnetic field configuration should give more realistic plasma sheet magnetic field variations for quiet times than does the original T96 model. This 2-D self-consistent simulation reproduces the observed flows and pressures better than our previous 1-D self-consistent simulation. The improvement results from a more accurate modeling of the coupling between plasma and magnetic field in the 2-D self-consistent simulation.