I know this is a really simplistic question, but I just want to check my assumption. Say you had a cuboid-shaped, permanent magnet, with the north pole on the side facing to the right, and the south pole on the side facing to the left. Am I right that the top, front, bottom and back sides of the cuboid magnet would exert no net magnetic force on a second (semi-big) magnet when you held that second magnet close to any of these four sides? Of course, I realise that there would be a force attracting or repelling the second magnet round the corner if you held it close towards the ends of the big magnet, but am I right that no actual attractive or repulsive force would be emanating from any of the four sides mentioned?
The other thing I was wondering was, if you had a hypothetical magnet that was as small as an electron, and you then held this miniscule magnet against any of the other four sides, am I right that it would experience attractive and repulsive forces from all of them? I think it must, because I know you can think of magnets as being made up of electrons which create microscopic domains inside that magnet, where all the domains are lined up. Therefore, I imagine that there would be sort of cross-sections in slices of the north poles of the domains all lined up and of south poles of the domains all lined up along the entire length of the magnet, meaning that these microscopic poles would cancel out for a large object, but could interfere with a microscopic object as small as they are? Although, if so, then how does this fit in with the way that an actual microscopic electron interacts with a magnet? And, if not, then what was the error in my reasoning, and why?