Magnetic Levitation

Compare the speeds at which a permanent magnet and a piece of metal of the same shape and mass fall through a conducting tube.

The permanent magnet will:

Fall slower Fall equally as fast Fall faster Levitate rather than fall

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1 solution

Matt DeCross
Feb 18, 2016

The magnetic field of the permanent magnet induces a current in the conducting tube. Below the magnet, the magnetic flux is increasing and so that induced magnetic field from Lenz's Law points in the opposite direction from the permanent magnet's field. Above the permanent magnet, the opposite is true, and the induced field points in the same direction. On either side this causes a magnetic dipole-dipole force: parallel fields attract and antiparallel fields repel, so the permanent magnet is attracted upwards from above and repelled upwards from below. Both effects combine to slow the fall of the magnet.

The piece of ordinary metal has no magnetic field, so none of these effects occur. Therefore the magnet falls slower than the metal.

@Matt DeCross Hi sir!

I am Sravanth, a moderator on brilliant.org, I love the problems you post(though most of them bounce tangentially over my head). In recent days I have seen you contribute to many physics wiki's, and the quality of the contents is just mind blowing!

I would like to know if you would like to share your thoughts with other members who are interested in writing wiki's (like me) so that we can build better wiki's together. I would like you to join the Brilliant slack team here (I am not forcing you too join though).

If people like you are here, then the wiki's on brilliant will be the best! Again I am in no way forcing you to join sir, its just a recommendation. And btw, I am sorry to have edited your capacitors wiki while you were editing, I really wanted to contribute to it. I extremely sorry if it caused inconvenience to you.

Thanks a lot! With love, Sravanth.

Sravanth C. - 5 years, 3 months ago

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Hi @Sravanth Chebrolu ,

Thanks for your message and kind words. I look forward to writing more physics and math wikis in the future, and I may join the Slack group at a later time.

No worries on the capacitor wiki; feel free to add content you would like to see on the page.

Matt DeCross - 5 years, 3 months ago

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Thanks a lot sir! I look forward to see you on slack soon, and considering that you are an MIT-ian, I'd really feel great to work with you!!

Great! But I guess you've already done the best to that wiki, I'll try to do my best. Thanks one again.

Sravanth C. - 5 years, 3 months ago

@Matt DeCross : Hi again, sir!

I just wanted to inform you that I am going to be inactive on brilliant for two years. So I dropped in here to say thanks to all your contributions! Hope you keep doing more...

If you can I have an unfinished wiki which I think you are deserved to finish, here it is: Green’s Theorem (I don't mind if you don't do it though)

Thanks! Regards, Sravanth.

Sravanth C. - 5 years, 2 months ago

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