what happens when you cut a bar magnet in half? if it were continually cut in half, then would it finally yield two magnetic monopoles?
When you cut a bar magnet in two you end up with two smaller bar magnets. You don't get a monopole.
The magnetic monopole is a much sought after object :)
...... but not found yet
When you cut a bar magnet in half, you end up with two separate magnets, each with its own north and south pole. In other words, cutting a magnet in half doesn't result in the creation of two independent magnetic monopoles.
To understand why this happens, we need to consider the nature of magnets. Magnets are made up of countless tiny aligned magnetic domains, which are regions where the atomic magnetic dipoles align in the same direction. In an unmagnetized material, these domains point in random directions. However, when the material is magnetized, the domains align to create a cumulative magnetic field.
When you cut a magnet in half, you separate these aligned domains into two pieces. Each piece still contains countless tiny aligned magnetic domains, resulting in two smaller magnets with their own north and south poles.
The concept of a magnetic monopole, on the other hand, involves a hypothetical particle or object that carries a single magnetic pole (either north or south) without the corresponding opposite pole. To date, magnetic monopoles have never been observed in nature, despite extensive research.
So, cutting a bar magnet in half does not create two magnetic monopoles. Instead, you end up with two smaller magnets, each with its own north and south pole.