Magnetic field due to an elliptical coil

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SUMMARY

The discussion focuses on calculating the magnetic field generated by an elliptical coil using Biot-Savart's Law. Participants confirm that Biot-Savart's Law is applicable and discuss the process of deriving the magnetic field components in the yz plane. While numerical integration can be performed using MATLAB, no simplified final expression analogous to that of a circular loop is readily available. The conversation emphasizes the complexity of the integration involved in this calculation.

PREREQUISITES
  • Understanding of Biot-Savart's Law
  • Familiarity with elliptical coil geometry
  • Proficiency in numerical integration techniques
  • Experience with MATLAB for computational analysis
NEXT STEPS
  • Research the application of Biot-Savart's Law for non-circular coils
  • Explore numerical integration methods in MATLAB
  • Investigate magnetic field calculations for elliptical coils
  • Study the differences in magnetic field expressions between circular and elliptical coils
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who are interested in advanced calculations of magnetic fields from non-standard coil shapes.

lekshmi
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Is there any expression for finding out the magnetic field due to an elliptical coil?
Can we proceed with Biot Savart's law?
If so what is the final expression?
 
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lekshmi said:
Is there any expression for finding out the magnetic field due to an elliptical coil?
Can we proceed with Biot Savart's law?
If so what is the final expression?

Yes you can use Biot Savart's Law.

So, now that you know "which instruments" to use, you can answer your second question yourself. If you need any help, just show us where you got stuck.


Good luck

regards
marlon
 
My elliptical coil lies in the xy plane.
I want to find out magnetic field in the yz plane. Zaxis is perpendicular to the coil.
I applied Biot Savart’s law and got integrals for B(y) and B(z).

Numerical integration is possible with Matlab.
But I would like to know whether there is any final expression as in the case of circular loop.
lekshmi
 
As marlon said, this is straight-forward application of Biot Savart's law and some very tedious integration. I'm not able to find the calculated result on the net.

Also, do you want to find the magnetic field at any point, or only in the xy plane?

If you want, you could post your steps here and we can help to check if it's right.
 
Last edited:

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