Using Euler potentials, we construct a class of axisymmetric magnetic field models that exhibit the general features of the dayside Jovian field as observed by Pioneers 10 and 11. The particular model used for illustration contains a distended, disk-like field along the equator, a blunt, Earth-like magnetosphere boundary, and the possibility of multiple traping regions along a field line. The self-consistent ring current is calculated, together with representative drift periods for energetic particles.