Magnetic Field of a Coil w/ N Spire: Determining Off-Axis Fields

[cataldo]

Hi everybody. I have a question on a magnetic field of a coil with N spire . I know the magnetic fields on point P that it has a about distance form coil center and staies on the central axis of the coil. Is possibile to determinate the magnetic filed of the coil on point P that does not stay on central axis of the coil? For example the point P staies on axis that has a distance above o below from central axis of the coil.
Sorry if i do not write a perfect english...
Best regards

 

[Meir Achuz]

That is done in advanced textbooks.
The simplest is to expand the magnetic scalar potential in Legendre polynomials.
Another method leads to elliptic integrals.

 

[cataldo]

Hi clem. tanks for your replay..
Can you suggest some advanced textbook where i found this topic?

 

[Meir Achuz]

"Classical Electromagnetism" by Franklin does this in Sec. 7.10.1 using Legendre polynomials.