B Field of Large Ring Magnet Calculation

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SUMMARY

The discussion focuses on the calculation of the magnetic field (B) of a large Neodymium N35 ring magnet, specifically addressing the unexpected negative result of -15.0893364057539 Gauss. Key parameters include remanence field (Br) of 12,300 Gauss, a distance (z) of 5mm from the pole face, and dimensions of the ring with an outside radius (Ra) of 360mm and an inside radius (Ri) of 330mm. Participants suggest that the negative result may stem from the low field flux at the center of the ring and recommend verifying calculations using a calculator to identify potential errors in the formula.

PREREQUISITES
  • Understanding of magnetic field calculations, specifically for ring magnets.
  • Familiarity with Neodymium N35 magnet properties and specifications.
  • Proficiency in using mathematical tools like Excel for formula calculations.
  • Knowledge of magnetic flux concepts and their relation to geometry.
NEXT STEPS
  • Research the formula for calculating the magnetic field of a ring magnet.
  • Explore the differences between block magnet and ring magnet calculations.
  • Learn about the impact of geometry on magnetic field strength.
  • Investigate software tools for simulating magnetic fields in complex geometries.
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Physics students, engineers working with magnetic materials, and anyone involved in the design or analysis of magnetic systems, particularly those utilizing Neodymium magnets.

jok
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Hi Everyone ,

Can anyone explain why I am getting negative result with a large Neodymium N35 ring Magnet ?

Br: Remanence field, independent of the magnet's geometry
z: Distance from a pole face on the symmetry axis
D: Thickness (or height) of the ring
Ra: Outside radius of the ring
Ri: Inside radius of the ring

Br: 12,300
z: 5mm
D: 10mm
Ra: 360mm
Ri: 330mm

(12000÷2)×((10+5)÷(SQRT((POWER(360,2)+POWER((10+5),2))))−(5)÷(SQRT((POWER(360,2)+POWER((5),2))))−((10+5)÷(SQRT((POWER(330,2)+POWER((10+5),2))))−(5)÷(SQRT((POWER(330,2)+POWER((5),2))))))

I am getting a result of : -15.0893364057539 Gauss .

Does it make sense for such a large magnet ?

Thank you

Screen_Shot_2015_08_17_at_10_15_33_AM.png
 
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Welcome to the PF.

I'd suggest doing it with a calculator and writing down the value of each term individually. Then see if you can spot the error in your (Excel?) formula calculation above.
 
berkeman said:
Welcome to the PF.

I'd suggest doing it with a calculator and writing down the value of each term individually. Then see if you can spot the error in your (Excel?) formula calculation above.

I did.

The results are correct .

Some said it is due to the fact that in the center of the ring there is very little field flux, which make sense . The center Z axis is very much away from the actual magnet.

So far what I came up with is using a block magnet formula to calculate a ring magnet by converting it to liner from circular .

But if there is a function for surface ring magnet strength. it would be very helpful.

Thank you
 
Hi, how did you get your value for z? I'm new to this and trying to work a similar problem, any help would be much appreciated
 

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