Comparison of current calculated using the approximation encapsulated in Equations (13)–(15) (b, d, labeled "Prescription") and current calculated from Ampere's law (a, c, labeled "Current") at 0.5 bars (a, b) and at 100 bars (c, d); units are G cm⁻¹. One can see that the spatial distribution is not well represented by the approximation and, more importantly, the amplitude recovered using the approximation is two orders of magnitude larger than the actual current.