Santa

Can we have an isolated south pole and north pole?

South pole can be taken as negative charge and North pole can be taken as positive charge.

Public Comments

1. No. A magnetic field is caused by moving charges, specifically spinning and orbiting electrons (like a current in a coil). So if you use the right-hand grip rule (remembering that the conventional current is in the opposite direction to the electron flow), the thumb will point towards the N pole. Magnetic field and electric field are not the same. A charge sets up an electric field regardless of whether it is moving or stationary but only moving charges create a magnetic field. If you cut a magnet in half you will create two magnets, each with an N and an S pole.
2. I don't think this question had been definitively settled yet. However, if isolated magnetic monopoles - which is what you are really talking about here - turn out to be possible, the theory of quantum electrodynamics will have broken down and physicists are going to have to give a serious overhaul. So far, quantum electrodynamics has been quite successful for predicting some physical effects down to the parts-per-billion level, so it will be a tool that a lot of physicists will be sorry to see seriously damaged. Then again, the discoverer of a magnetic monopole will almost surely receive a Nobel Prize in physics. In a magnet, it is possible - in fact, rather common - for a line of magnetic dipoles - closely spaced south and north poles - to look like a region with an isolated south pole separated by a macroscopic distance from an isolated north pole of equal strength, though not necessarily of the same shape - as long as you confine your observations to the regions of space not occupied by the magnetic dipoles.
3. One of Maxwell's laws is the non mono-pole law which basically states that you can never have and isolated north and south magnetic pole. So the answer to your question is no.