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or at least some of the issues that your questions raise.
1) magnetic charges and the origin of magnetic fields. As pretty much everyone knows by now, electricity and magnetism are related. That a current in a wire is able to affect the orientation of a compass needle, and electromagnets are very physical examples of this. In the laws used to describe electromagnetism as written by Maxwell, the electric and magnetic fields play almost identical and complimentary roles, execpt for one important fact. There are no magnetic charges.
That is to say, unlike the electric force, which has isolated charges + and -, there are no magnetic monopoles, a single north pole or a single south pole. This isn't because no one has been looking, finding a single monopole would almost certainly guarintee a Nobel prize, and the immortalization of your name. This isn't because no one wants them to be found, finding a single monopole would explain a number of things in physics, such as why charge is quantized, as well as making the laws of E&M more symmetrical. It is simply because either they are not there to be found, or they are stupendiously rare beasts.
So, in the absence of magnetic charges, how does one create magnetic fields? The answer lies in the tie between electricity and magnatism. While stationary electric charges will only make electric fields, if we get those charges moving (reletive to us), creating an electric current, this current will create a magnetic field. If we set up a loop of current, it will create a magentic field like a little bar magnet, with the magnet being the axis of the loop.
In magnetic materials, like iron, the electrons orbiting the iron atoms form the little loops of current. Each atom is like a little bar magnet. In unmagnetized iron, all these atomic magnets point in random directions, and the effects of all the individual magnets tend to cancel out. When placed in a strong magnetic field from some other source, some of these little atomic magnets will flip to align themselves with the field, this adding to the strenght of the existing field. Some of these will remain flipped when the field is removed, making the previously unmagentized iron behave like a magnet when it is removed from the external field, this is called hysteresis.
In a normal bar magnet, not all of the atomic magnets are lined up in the same direction, there are pretty much always some that point in random directions, so when a bar magnet is lined up next to another bar magnet, the combined field can overpower some of these houldouts, and cause them to line up with the majority, thus making the total field of the two bar magnets stronger than the sum of the two bar magnets individually, even though on the microscopic atomic level, there is nothing non-linear going on, likewise, when the two magnets are seperated, some of the stragglers will remain in the aligned position, so the magnet will remain stronger. There is of course a limit to this, when all of the atomic magnets are aligned, if this is the case, then the magnet is said to be saturated.
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