I am currently working on a project involving solenoids, and I needed a force(Newtons, not a measure of magnetic field strength) equation. What I came up with after some digging around on the internet, is the equation:
$$F = (NI)\mu_0\frac{\text{Area}}{2g^2}$$
Where $F$ is force (in Newtons), $N$ is the number of turns in the coil, $I$ is the current being passed through the coil, $μ_0$ is the magnetic permeability of vacuum, and $g$ is the gap between the coil and the ferromagnetic material. (Area $A$ and $g$ can be any units, as long as you're consistent with the usage)
I don't know in which plane exactly the area $A$ is taken.
Assuming I have a rod, moving lengthwise into a solenoid, which plane would $A$ represent?
Plane a, plane b, or another plane that I did not consider relevant to this problem?
Rod:
Edit: I was looking for the force an electromagnet would exert on a ferromagnetic material moving into the coil. something like this.
Edit: If the equation I was using before does not work, I don't suppose anyone has the correct one?
Edit: After looking at the equation some more, I realized I had written it wrong. It should be:
$$F = (NI)^2\mu_0\frac{\text{Area}}{2g^2}$$
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