In simple magnetized toroidal plasmas, field-aligned blobs originate from ideal interchange waves and propagate radially outward under the effect of ∇B and curvature induced E × B drifts. We report on first experimental two-dimensional measurements of the field-aligned current associated with blobs, whose ends terminate on a conducting limiter. A dipolar structure of the current density is measured, which originates from ∇B and curvature induced polarization of the blob and is consistent with sheath boundary conditions. The dipole is strongly asymmetric due to the nonlinear dependence of the current density at the sheath edge upon the floating potential. Furthermore, we directly demonstrate the existence of two regimes, in which parallel currents to the sheath do or do not significantly damp charge separation and thus blob radial velocity.PACS numbers: 52.35. Ra, 52.35.Kt, 52.25.Fi Filamentary current structures associated with intermittent blobs and filaments, which propagate across magnetic fields, are observed in natural and laboratory plasmas. For example, satellites reveal current filaments aligned with the Earth magnetic field [1], which are transported with ionospheric blobs. On RFX, a reversed field pinch, insertable magnetic probes measured field aligned currents associated with plasma blobs [2]. In tokamaks, current structures associated with plasma filaments during edge localized mode (ELMs) were measured using fast imaging combined with external magnetic data on MAST [3], reciprocating magnetic probe data in the Scrape Off Layer (SOL) of ASDEX Upgrade [4] and JET tokamaks [5], and filament modeling and comparison with external coil data on DIII-D [6]. Although the field-aligned nature of these current filaments is a common feature, detailed measurements of the two-dimensional (2D) structure in the plane perpendicular to the confining field are missing, thus preventing a fuller understanding of the origin of the current itself. Furthermore, to date, the importance of parallel currents on blob propagation is only indirectly inferred by comparing experimental blob size-versus-speed scalings [7,8] with theory predictions [9].In this Letter, we report on first two-dimensional measurements of the parallel current density associated with radially propagating blobs in the open field line geometry of a simple magnetized toroidal plasma. The experiments are performed on the TORPEX device [10]. Blobs are generated from ideal interchange waves [11] and are propelled by the effective gravity force associated with ∇B and magnetic field curvature causing charge separation, polarizing the blob and a corresponding radially outwards E × B drift [7,12]. Blobs propagate in a region where both of their ends are connected to a conducting limiter, where a plasma sheath is formed. Time-resolved 2D profiles of parallel current density to the limiter are obtained using data from a single-sided Langmuir probe (LP) and from a specially designed current probe, based on an array of magnetic pick-up coils, which are conditional...