Can Maglev Trains Be Used for Exercise?

[paulcaimp]

Homework Statement

Find an exercise about maglev trains to which Maxwell's equations can be applied

Relevant Equations

Maxwell's Equations with derivative and integrals

Hi everyone, I'm an Italian High Schooler and I need a problem about maglev trains for the final exam. I apologize in advance if my english is bad or if I didn't follow some rules. I'm not native and new to this forum.

 

[berkeman]

Welcome to PhysicsForums.

If I understand correctly, you are asked to come up with a homework-like problem about MagLev trains and solve that problem?

What reading have you been doing about MagLev in general and trains in particular? Can you posts to your reading so far? Thanks.

 

[paulcaimp]

Yes, so it's been a couple of days during which I've been looking up some videos on youtube () and reading articles (https://sites.tufts.edu/eeseniordesignhandbook/2015/maglev-magnetic-levitating-trains/) to grasp how currents and magnetic fields interact between each other during a maglev train ride. I also found out that two types of maglev trains exist, but for my work I will focus only on electrodynamic suspension trains. I also come across a report of functioning maglev trains that has all kind of datas, so it would be awesome if we can come up with a problem involving these real life figures. It is located at this url (https://www.osti.gov/servlets/purl/10134413) and the pages that treat eds systems are the 54 and 56. Thanks for your attention

 

[paulcaimp]

Welcome to PhysicsForums.

If I understand correctly, you are asked to come up with a homework-like problem about MagLev trains and solve that problem?

What reading have you been doing about MagLev in general and trains in particular? Can you posts to your reading so far? Thanks.

Yes, so it's been a couple of days during which I've been looking up some videos on youtube () and reading articles (https://sites.tufts.edu/eeseniordesignhandbook/2015/maglev-magnetic-levitating-trains/) to grasp how currents and magnetic fields interact between each other during a maglev train ride. I also found out that two types of maglev trains exist, but for my work I will focus only on electrodynamic suspension trains. I also come across a report of functioning maglev trains that has all kind of datas, so it would be awesome if we can come up with a problem involving these real life figures. It is located at this url (https://www.osti.gov/servlets/purl/10134413) and the pages that treat eds systems are the 54 and 56. Thanks for your attention

 

[paulcaimp]

This site could help too
https://onlinelibrary.wiley.com/doi/full/10.1002/ecj.12234

 

[paulcaimp]

After a week of desperate searching, I've come across this document (on https://www.academia.edu/34876525/Magnetic_Levitation_Transportation) that shows a series of calculations that are perfect for my assignment. They are under the section "Overcoming the force of gravity" at pages 8-12. Although, I get lost around the sixth equation because I'm not sure the procedure is legit. What do you think?

 

[paulcaimp]

I'm posting the screenshots of the calculations

 

[berkeman]

Which part are you following okay, and what part is tripping you up?

 

[paulcaimp]

I am now able to follow till the 24th passage. The only thing I'm not getting it's this costant switch between B and H, what's their difference? And also why at the 25th equation we have two forces?

 

[berkeman]

I am now able to follow till the 24th passage. The only thing I'm not getting it's this costant switch between B and H, what's their difference? And also why at the 25th equation we have two forces?

Do you mean equation 24? If so, can you describe your understanding up to that point, and what confuses you? B versus H usually involves the material that the magnetic field is in:

$B = \mu H$

so you will likely see H for non-ferrous regions and B for the field in a ferrous material.

 

[paulcaimp]

Actually, after some efforts and thanks to your heads up, I was able to rewrite all the equations in the way I needed, so I'd say "problem solved". Thank you for the support, guidance and patience