I've searched high and low and come up with a lot of "maybes" and "could be's" and "try this" to a problem which I feel should have at least a few example calculations floating around the internet. The questions is trivial but it seems like the solution is fairly complicated. I'm not looking for an exact solution as one probably doesn't exist, but at least an approximation would be nice. Say I have an electromagnet and some distance away from it along its axis is a highly magnetically permeable material like iron. What is the force exerted on that object by the electromagnet?