Doubt about Electromagnetic Attraction b/w Electromagnet-Iron vs Electromagnet-Electromagnet

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J.Doe

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J.Doe Asks: Doubt about Electromagnetic Attraction b/w Electromagnet-Iron vs Electromagnet-Electromagnet
https://www.supermagnete.de/eng/faq...the-combination-magnet-magnet-and-magnet-iron

At full contact, the attractive force between a raw magnet and an iron plate is the same as the attractive force between two raw magnets. However, with increasing distance, the attraction diminishes faster than the attraction between two raw magnets (see graph)
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I am confused by this:


  1. Consider two identical Electromagnets touching each other in one case and a single electromagnet touching an iron plate in second case. Won't the attraction be more in the first case as both magnets are exerting a pull on each other where as in second case the magnet is pulling on a passive iron plate (which has temporarily induced magnetism)?


  2. For two cylindrical electromagnets with poles at distance $x$ repelling each other (they are relatively close by i.e. $10*R > x$ where $R$=radius of pole) how does the force exerted on each electromagnet change with increase in current ($I$)? Can someone help with this formula?

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