Regarding a solenoid...Would the axial reading change when the sensor is moved radially outward from the centerline towards the windings on the coil?
It probably would not change much, if at all. A solenoid is basically an electrical wire, looped tightly into a wound helix, usually around a ferromagnetic core of material. When an electrical current is conducted through the wire, a magnetic field is induced into the core. This is the working principle of all electromagnets in use today. Depending on thte amount of current conducted through the electrical wire, the magnetic field may be large or small. There is a direct relationship between the amount of electrical current and the field strength of the induced magnetic field. Electromagnetism has a lot of industrial application, from the electromagnets used in the recycling industry, to the super-fast maglev trains capable of reaching speeds in excess of 300 miles per hour. The magnetic field would be consistent throughout the wire helix of the solenoid.