A Z-coordinate shift when using elliptical integrals?

[Helmholtzerton]

Hello,

I'm wondering if my approach to a problem is correct as when I try to simulate the DC magnetic field of a current loop using elliptical integrals, I obtain results that appear incorrect when shifting the current loop's location from the origin of the z axis.

I have attached the mathematical expressions along with my results.

 

[Charles Link]

Hello,

I'm wondering if my approach to a problem is correct as when I try to simulate the DC magnetic field of a current loop using elliptical integrals, I obtain results that appear incorrect when shifting the current loop's location from the origin of the z axis.

I have attached the mathematical expressions along with my results.

I was unable to view the "link" on my computer. I think I wound up evaluating a similar integral in a write-up I did where I showed the Biot-Savart integral from some surface currents gives the exact same result as the pole method. I only evaluated the integral in the plane of the endface of a cylinder of semi-infinite length: See: https://www.overleaf.com/read/kdhnbkpypxfk

 

[Helmholtzerton]

Thanks for the reply Charles,

There was an error in my code.

I have achieved symmetry.