Can I calculate magnetic force of a magnet?

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Calculating the magnetic force of an electromagnet involves understanding the magnetic field strength, measured in Tesla, and its effect on the mass it can hold. For a magnetic field of 4T, the maximum mass of iron it can support can be determined using specific formulas related to magnetic force. The magnetic field outside of a solenoid can be calculated using established equations found in resources like Wikipedia. Increasing the radius of the core while wrapping wires around it generally decreases the magnetic strength, but maximizing strength can be achieved by increasing the number of wire turns. The discussion highlights the practical implications of strong electromagnets, including safety concerns with high magnetic fields.
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Is there a way of calculating how much force can be applied to an object if you are given the magnetic field strength of an electromagnetic?

For example, if an electromagnet produces a B field of 4T, what is the maximum mass of iron it can hold?

And also, how does one calculate the magnetic field outside of a solenoid?

*edit* It seems that I may have another question...*sigh*

If I wrap wires around an iron core like a solenoid to make an electromagnet, would its magnetic strength decrease or increase if I increase the radius of the core? How would I maximize the strength other than having more turns of wires?
 
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I was working on a 30 ton electromagnet with a 12,000 Gauss (1.2 Tesla) field, and lots of fringe field. A grad student wheeled by a large gas bottle of CO2, which the magnet snatched and broke off the pressure regulator. We could not remove it without turning off the current. If you put an octegenarian on O2 in a 4T MRI (NMR) solenoid, the flying O2 bottle will crush him.
 
To increase the strength of the electromagnet, just, increase the number of winof the solenoid.
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.

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