Where is the magnetic field most intense when a cylinder is magnetized by a central conductor?

When a cylinder is magnetized by a central conductor, the magnetic field is most intense at the inside surface of the cylinder. This is due to the configuration of the magnetic field lines generated by the current flowing through the central conductor.

As the current flows, it creates a magnetic field that circles around the conductor. The field lines are densest at the inside surface because they are concentrated in the area closest to the conductor, where the magnetic effect is strongest. This alignment results in the highest magnetic flux density at that inner surface.

Moreover, as you move outward toward the outer surface of the cylinder, the magnetic field strength decreases. This is a fundamental principle of magnetostatics, where the proximity to the source of the magnetic field, in this case, the central conductor, significantly affects the intensity of the magnetic field being produced.