Magnetic field due to an elliptical coil

Click For Summary

Homework Help Overview

The discussion revolves around finding the magnetic field produced by an elliptical coil, specifically in relation to the application of Biot-Savart's law. Participants are exploring whether a final expression exists for this scenario, similar to that of a circular loop.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of Biot-Savart's law for calculating the magnetic field and consider the complexity of the required integration. Questions arise regarding the existence of a simplified expression for the elliptical coil's magnetic field compared to a circular loop.

Discussion Status

Some participants have provided guidance on using Biot-Savart's law and have encouraged sharing specific steps for further assistance. There is an acknowledgment of the tedious nature of the integration involved, and multiple interpretations of the problem are being explored.

Contextual Notes

One participant notes that their elliptical coil is positioned in the xy plane, with the magnetic field being sought in the yz plane, which may influence the approach taken. There is also mention of numerical integration capabilities using Matlab.

lekshmi
Messages
4
Reaction score
0
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?
 
Physics news on Phys.org
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:

Similar threads

Electromagnetism - movement of a coil in a magnetic field
  • · Replies 6 ·
Replies
6
Views
3K
Maxwell's Equations: How E and B Fields Interact
  • · Replies 6 ·
Replies
6
Views
3K
Modelling a metal detector using eddy currents from Non-Destructive Testing
  • · Replies 1 ·
Replies
1
Views
1K
How to explain the Quantum Mechanics/Math of the stages of MRI imaging
  • · Replies 4 ·
Replies
4
Views
3K
Potential difference defined in non-conservative electric field
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad How induction works within a coil (nuances of it)
  • · Replies 6 ·
Replies
6
Views
2K
Magnetic field of a semi infinite sheet of current
  • · Replies 3 ·
Replies
3
Views
2K
Calculation of the magnetic field of four quarter circles
  • · Replies 12 ·
Replies
12
Views
1K
Direction of the magnetic field of an oscillating charge
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Does a time varying magnetic field in vacuum produce electric field or not?
  • · Replies 7 ·
Replies
7
Views
2K