During the outbound leg of its passage through the Jovian magnetosphere in July 1979, the Voyager 2 spacecraft observed >50 traversals of the magnetotail current during a 10-day period at distances between 30 and 130 RJ. Detailed study of these and Voyager 1 outbound data show that the magnetic structure near and within the current sheet was variable with time and distance from Jupiter, but generally corresponded to one of the following four types: (1) simple rotation of field across the sheet with either a southward or a northward directed field component normal to the sheet: (2) field having a southward component in a broad region near the sheet, but northward in a restricted region at the sheet itself: (3) a clear bipolar variation of the sheet-normal field component as the sheet was crossed (i.e., the field became northward and then southward, of vice versa, in crossing the sheet): (4) large-amplitude fluctuations in all field components near and in the sheet, with alternating northward and southward polarities. Considering Voyager 1 and 2 observations together, twice as many of type 1 signatures were seen as types 2 and 4, which occurred approximately in equal numbers, whereas type 3's were only half as frequent as the latter types. These magnetic structures are all morphologically similar to those observed at the current sheet in the earth's magnetotail at different imes. While type 1 and 2 structures are indicative of a simple, static current sheet geometry, types 3 and 4 provide evidence for a more complex and dynamic internal sheet structure at the times of those traversals, suggesting a loop geometry and fine structure consistent with occurrence of the tearing mode instability. Except for one case, both type 1 signatures with southward components and type 2 signatures were found to occur exclusively in the near-Jupiter region of the magnetotail. Beyond a downtail distance of ~70 RJ, type 1 variations tended to have northward components, and types 3 and 4 were observed more frequently than other types. This suggests that there may have existed a quasi-stationary crosstail neutral line near 70 RJ down the tail at the time of the Voyager 2 pass.