Surviving in Jupiter's rings would be an incredibly challenging and dangerous endeavor. However, since Jupiter's rings are primarily composed of small particles, rather than a dense solid structure, it is technically possible to pass through them with a spacesuit.
The main concerns you would face in Jupiter's rings are:
Particle Impact: The rings consist of countless small particles, ranging in size from tiny dust grains to larger rocks. Even though the particles are relatively small, traveling through them at high speeds could result in significant impacts. A spacesuit is designed to protect astronauts from micrometeoroids in space, but it may not be able to withstand the high-speed impacts and potential damage caused by the dense ring particles.
Radiation: Jupiter's radiation environment is incredibly intense, and the rings would likely be no exception. The strong radiation belts surrounding Jupiter emit high levels of charged particles that can be harmful to humans. While spacesuits offer some protection against radiation, prolonged exposure to Jupiter's radiation would be hazardous to your health.
Limited Resources: Spacesuits have a limited supply of air, power, and temperature control systems. If you were to spend an extended period in Jupiter's rings, your resources would eventually deplete, leading to a critical situation.
Considering these factors, it is difficult to estimate an exact time for how long you could survive in Jupiter's rings. It would likely be a matter of minutes or hours rather than days or weeks. However, it's important to note that such an attempt would be incredibly dangerous, and no manned mission to Jupiter's rings is planned or advised with our current technology.