Calculate Magnetic Field of Electromagnet with Hollow-Iron Core

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Discussion Overview

The discussion revolves around calculating the magnetic field of an electromagnet with a hollow iron core. Participants are seeking formulas and understanding of the magnetic field distribution both inside and outside the hollow core, as well as the implications of having a core versus an air core in their configurations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Caleb expresses a need for the formula to calculate the magnetic field of an electromagnet with a hollow iron core, indicating difficulty finding information.
  • Another participant shares a similar configuration and seeks to understand the magnetic field inside the hollow tube, noting that the presence of a core complicates the situation.
  • Bob S questions the continuity of the tangential component of the magnetic field across the air-iron boundary for a hollow iron tube without windings inside.
  • Souviktor clarifies that the coil is wound around the outside of the tube and discusses the behavior of magnetic flux lines, suggesting that the inside of the tube may have reduced magnetic flux due to the core's presence.
  • Souviktor mentions the need for exact field values in 3D space and lists several simulation tools that could assist in modeling the magnetic field distribution.
  • Another participant agrees with Souviktor's point about the absence of coils inside the tube and poses questions regarding the continuity of the magnetic field components at the boundary.
  • Caleb reiterates his request for the formula and expresses a desire to find a solution for his project.
  • A later reply requests the standard formulas for air core electromagnetic coils mentioned by Souviktor, indicating interest in those equations for their own project.

Areas of Agreement / Disagreement

Participants generally agree that there are no coils inside the hollow iron tube. However, there are multiple competing views regarding the behavior of the magnetic field and the implications of having a hollow core, which remain unresolved.

Contextual Notes

Participants express uncertainty about the exact field distribution and the mathematical steps necessary to derive it, indicating a reliance on simulations and existing formulas that have not been fully detailed in the discussion.

cb767
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Hey everyone,

I'm doing a physics project, and I need to construct an electromagnet with a hollow iron core. I have searched everywhere on google, and checked my physics textbook as well, but have unfortunately found nothing. I basically just need the formula of how to calculate the magnetic field of an electromagnet, which has an iron-cylinder core.

Thanks,
Caleb
 
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I am dying to know that too...!:cry:

please help me if you have already got the solution..

I have the same configuration ...i.e. a coil wound round a iron tube .I want to know the field inside the tube.Having a core complicates the matter...
 
For a hollow iron tube without windings inside the tube, what tangential component of the magnetic field is continuous across the air-iron boundary? Why?
 
Sorry,Bob S I did'nt exactly understand your question...

There are no coils inside the tube.The coil is outside the tube.It is made by winding a magnet wire on a soft iron tube...simple.

Actually what I have found so far is that there are standard formulas for air core electromagnetic coils.So we get a more or less uniform field within the coil.there is small radial variation and axiially i.e. along the height of the coil the field at the middle is maximum and at the two ands (top and bottom)half of the maximum.

Now, as I add a hollow cylindrical soft iron core (a soft iron tube)almost all the flux lines go through the iron tube thus in effect screening the inside and so the inside of the tube is starved of magnetic flux.The field will be very high at the top of the tube wall as it is now turned into a magnet due its magnetization and north pole and south pole will be formed at the two ends(it also formed for a air core solenoid but the strength would be weak)just at the top of the tube wall.Hope I didn't mess up the explanation...

This is all fine and validated.I want exact field values at arbitrary points in 3d space both inside the tube and out side the tube i.e the 3d field distribution of B and H.

I know couple of solvers (simulators)which can be of some help but I need someone to accompany me by sharing their results of the simulation of the configuration in prder to validate my understanding.
...
1.FEMM...excellent...so far the best and lightweight field solver I have ever encountered.Its open source software so ..FREE DOWNLOAD!
this is the homepage:
http://femm.foster-miller.net/wiki/HomePage
2.Maxwell SV:
complicated...dont know much about
3.VIZIMAG small software ,lacks in flexibility to model complex geometries.
4.quickfield
5.comsolOr one can try and solve MAXWELL equations in the 3d (or 2d)space to get the field distribution...

Please share your thoughts...
Thanks to all.
 
We agree. There are no coils inside the tube. So Curl H = 0. Solve it at the boundary. So what tangential component of the magnetic field is continuous across the boundary on the inside of the iron tube? What tangential component of the field is NOT continuous?
 
cb767 said:
Hey everyone,

I'm doing a physics project, and I need to construct an electromagnet with a hollow iron core. I have searched everywhere on google, and checked my physics textbook as well, but have unfortunately found nothing. I basically just need the formula of how to calculate the magnetic field of an electromagnet, which has an iron-cylinder core.

Thanks,
Caleb

I want to know that too :) created a post too just to find this 1 out.

I am trying to find the solution to that exact construction.
 
Hi Souviktor, I read your reply to Bob S. In that you said that there are standard formulas for air core electromagnetic coils. I am now searching for that equation for my project. It will be helpful to me if you provide me that equation.

Thanks
 

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