I can't understand how the system sketched here physically works:
4 = permanent magnet, with residual magnetization $B_r$
6 = ferromagnetic core with a coil around it
7 = ferromagnetic toothed wheel
It's an inductive sensor that measures the speed of the wheel.
I have thought that the Permanent Magnet induces an EMF in the coil, due to the magnetic field produced by it. (Faraday-Neumann law) (expecially at the beginning... when the coil is mounted on the permanent magnet). It should produce a current through the coil. Then, when a tooth passes near the coil, the magnetic flux through the coil changes again and it should produce another EMF and I can observe it.
Maybe all this reasoning is wrong... I have some difficulties in understanding the role of the PM and of its residual magnetization.. How can the wheel influence the magnetic field 'felt' by the coil if it is only a ferromagnetic material and it it not a permanent magnet? Is it due to the fact that the permanent magnet induces a FEM in the tooth and a field resisting to the flux variation thought the tooth that produces a variation in the field 'felt' by the coil, resulting in an induced EMF?
Please, let me know if something is not clear. Thanks.