Cross section of steady-state solution for an inclined rotator with λ = 20° and θ_pc = 36°, where r_* = 0.25R_lc. The rotation axis aligns with the z axis and the inclined magnetic axis lies along the corotating xz plane. This cross section represents phase 0 (or π) of the corresponding rotating time-dependent solution. Closed thick black lines show the separatrix between open and closed field lines. Open thick black lines indicate the separatrix between open field lines that originate from the northern and southern magnetic poles, marking the location of the equatorial current sheet. Red lines show the initial dipolar shapes of the interim separatrices before readjustment. For this polar-cap choice, the dipole is significantly stretched outward toward the light cylinder (dashed lines at x/R_lc = ±1). The equatorial current sheet lies where lines from the north and south polar cap rim meet. The color scale shows the ratio B_p/B, representing the development of the azimuthal magnetic field B_ϕ across the magnetosphere. At the magnetospheric Y-point, where the equatorial current sheet connects to the separatrix current sheet, B_p = 0 and B_ϕ ≠ 0 as expected (Uzdensky 2003). In this solution, the Y-point remains significantly inside the light cylinder.