Today I’ll be experimenting on a “ideal magnetic kreis” mainly to see if a person can get any kind of worthwhile pull in one direction or another from my super magnet.

Magnetics itself is a phenominoooo—…thing that has always interested me…actually probably like any science person. You can have a force interact with an object straight through the air without ever having to touch it. It’s pretty damn cool really.

In an ideal system (forgetting meddling things like *physics* ) You can calculate a magnets flux density and it’s strength with B = \frac{NI\mu}{l} where N is the amount of *windings* around your core, l the length of your windings I your *amps* and \mu = \mu _r \times \mu_o is the magnetic constant mulitiplied with the permability of your core material. When dealing with an ‘infinity’ long core and a copper winding.

If we look at what my system should have for a flux density and throw some numbers around;

B = \frac{498\times5\mathrm{A}\times\mu_0\times2000}{100\times10^{-3}\mathrm{m}} = 19.\mathrm{numbers}\times \pi\,\mathrm{T} Which, wow. that’s hella big.

Buuuut well, that’s not even remotely *physically* possible. (like I said, meddling physics…) In reality there are things that play very large roles in how powerful an electromagnet can be. Things like magnetic resistance or *reluctance*, electrical resistance, saturation and other stuff. Without going into details. The core I have is 99.95% pure iron. Which saturates around 2.3 Teslas.

My system is of course not *just* a infinity long pure ironcore. It has those arm things on it and the core itself is actually two separate cores with a 2mm air gap in between them. If you start to look at a *less than ideal* system the approximation of the my magnetic density starts to go down pretty drastically.

B = \frac{\Psi}{A} = \frac{NI}{\mathbb{R}A}

Where \mathbb{R} = \frac{l}{\mu*A} and A is the cross section of the circuit. Once I start throwing in some numbers there. My density drops down to around 1T. Which isnt bad…but most certainly doesn’t give me as powerful a magnet as I originally planned…and definitely not as high as ≈19.numbers π flux density.

When you start having to deal with that bastard *physics*, then of course things start getting a little depressing. \mathrm{e}^{\sqrt{2}}