Equation for Permeability of an electromagnetic core

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To determine the permeability of the core material for an electromagnet, specifically using ferrite, it's essential to find an equation that does not rely on magnetic flux density. The permeability can often be obtained from the manufacturer if the core is purchased. If the core is homemade or the manufacturer is unknown, measuring the inductance of a known number of turns can provide a way to calculate permeability. This information is crucial for subsequent calculations, including determining flux density and the force exerted by the electromagnet. Accurate permeability data is vital for the successful design and functionality of the solenoid project.
Jake110
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well i hope I am posting this in the right section, I am new here.

im making some electromagnets for a personal project I am doing but i want to get all the calculations done before i get all the materials and actually build the thing.

i need to know what/if there is an equation to find the permeability of the core material of an electromagnet. the type I am making are solenoids and i was thinking of using ferrite (alpha iron) as the core material. so its going to be a pipe/tube of ferrite with insulated copper wire wrapped around it and a patch of air through the middle.

i searched around on the internet but couldn't find anything usfull, oh and it needs to be an equation that's doesn't use the magnet flux density because I am trying to find the permeaility so i can then find the flux density which i can go on to find the force it will pull an object relative to its distance from the magnet. ill work out the last bit after i get the permeability.
 
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Assuming you're buying this core, that data should be available from the manufacturer. I the manufacturer is unknown or you're making the core yourself (!) the easiest way is to just measure the inductance of a known, small number of turns and calculate it from that.
 
i was thinking that i might have to get the info from the manufacturer but it was worth asking, thanks for the help.
 
Happy holidays folks. So I spent some time over the Thanksgiving holidays and developed a program that renders electric field lines of swiftly moving charges according to the Liénard–Wiechert formula. The program generates static images based on the given trajectory of a charge (or multiple), and the images were compiled into a video that shows the animated field lines for harmonic movement and circular movement of a charge (or two charges). Video: The source code is available here...

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