An infinite non-uniform cylindrical conductor is made up of different materials that causes the conductor to have different current densities depending on the radius. The overall radius of the conductor is 17.41 meters. For the region where the radius ρ less than 4.19 meters, the current density is 11.69 amperes per square meter. For the region where the radius ρ from 4.19 meters to 7.09 meters, the current density is -27.89 amperes per square meter. Finally, for the region in the conductor where radius ρ is greater than 7.09 meters, the current density is 34.45 amperes per square meter. Find the magnetic field intensity, in ampere-turns per meter, at a distance 12.87 meters from the axis of the conductor.

An infinite non-uniform cylindrical conductor is made up of different materials that causes the conductor to have different current densities depending on the radius. The overall radius of the conductor is 17.41 meters. For the region where the radius ρ less than 4.19 meters, the current density is 11.69 amperes per square meter. For the region where the radius ρ from 4.19 meters to 7.09 meters, the current density is -27.89 amperes per square meter. Finally, for the region in the conductor where radius ρ is greater than 7.09 meters, the current density is 34.45 amperes per square meter. Find the magnetic field intensity, in ampere-turns per meter, at a distance 12.87 meters from the axis of the conductor.