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In this Veritasium video, Derek explains why solenoids (electromagnets) work. But I have a confusion.

He only explained the case when the solenoid (electromagnet) attracts a charged object ( that is, the cat). But he didn't explain the case when the solenoids (electromagnets) attract uncharged ferromagnetic substances.

What would be the scenario then?

If there's any problem in my question please inform me. Thanks!

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Ferromagnetism means just that: it's a property of a substance being attracted by a magnet, even if uncharged. The reasons are quite fundamental and are better explained in more depth in the linked Wikipedia article.

So something like iron shavings (nickel and cobalt would work too) in some kind of liquid behave like a liquid permanent magnet that will be attracted by a magnetic field. You could check this by building a solenoid, laying it on a flat surface in a puddle of iron shavings liquid, and switching it on. Would look something like this.

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