A quick question about current loops

  • Context: Graduate 
  • Thread starter Thread starter a9211l
  • Start date Start date
  • Tags Tags
    Current Loops
Click For Summary
SUMMARY

The discussion focuses on calculating the magnetic field produced by a current loop using the Biot-Savart law. It highlights that while determining the magnetic field inside the loop is straightforward, finding the field outside the loop requires advanced techniques. Specifically, a Legendre polynomial expansion of the magnetic scalar potential is necessary for off-axis calculations. The use of elliptic integrals is also mentioned as a critical component in this analysis.

PREREQUISITES
  • Understanding of the Biot-Savart law
  • Familiarity with magnetic scalar potential
  • Knowledge of Legendre polynomials
  • Basic concepts of elliptic integrals
NEXT STEPS
  • Study the application of Legendre polynomials in electromagnetic theory
  • Learn about elliptic integrals and their applications in physics
  • Explore advanced topics in magnetic field calculations
  • Investigate numerical methods for solving magnetic field problems
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism who are interested in advanced calculations of magnetic fields around current loops.

a9211l
Messages
22
Reaction score
0
Applying the Biot-Savart eq'n for inside a current loop is pretty simple to find the magnetic field inside a current loop.

But how would one find the magnetic field outside of one?
 
Physics news on Phys.org
On the axis, it is fairly simple.
Off axis, you need a Legendre polynomial expansion of the magnetic scalar potential.
 
Elliptic Integrals:
e.g.,
http://www.netdenizen.com/emagnettest/offaxis/?offaxisloop
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
437
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 57 ·
2
Replies
57
Views
11K
Replies
8
Views
1K