Looks like FEM modeling software is your best bet for finding magnetic force. Below is an example FEM model of a conical magnet that I found online. Note that the magnetic field lines don't concentrate at the apex nearly as strongly as in your hand sketch.vdance said:
The poles of a tapered magnet are distributed in a non-uniform manner, with the strongest pole being located at the smaller end of the magnet and the weaker pole at the larger end.
This distribution of poles is a result of the magnetization process, where the magnetic domains align with the magnetic field during the manufacturing process. The smaller end of the magnet has a smaller surface area, allowing for a higher concentration of magnetic domains, resulting in a stronger pole.
No, the distribution of poles can vary depending on the shape and size of the tapered magnet. Factors such as the strength of the magnetic field during the magnetization process and the material used can also affect the distribution of poles.
The non-uniform distribution of poles creates a stronger magnetic field at the smaller end of the magnet, making it useful for applications such as magnetic separation and particle manipulation. However, the magnetic field strength decreases towards the larger end of the magnet.
Yes, the distribution of poles can be altered by changing the manufacturing process or by using different materials. However, this may also affect the overall strength and properties of the magnet.