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Finding strength, pull, telsa (anything) of an electromagnet

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I have built a new electromagnet, my second one so far, in an attempt to make it better. I am trying to find its strength, whether that be in tesla, holding force (kg) or whatever other units there are, just so I can compare it with other magnets.

What I have is a steel bolt wrapped with 1000+ turns of 26AWG copper wire. There are 8 AA batteries in series, giving about 12V, and a current of about 0.22A. The coil is approximately 7cm long, and has an outer diameter of approximately 1.2cm (I think the bolt is 3/8 of an inch), with 8 layers of wire.

Can someone please provide me with the formula(e) required to find what I am looking for.
If there are any other variables needed please let me know. Also, what are good alternatives for a bunch of AA batteries? I would like it to be portable - not connected to a powerpoint - and to have it more powerful, so more current from the batteries.

Thanks for any help.

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