Magnetic fields with circled current

Assuming the uniform circled electric current, like I[A], we can calculate the magnetic fields created by that current using Biot-Savart’s law or simply calculation of the vector potential and taking the curl of that potential. Actually, that kind of calculation is not obvious because there is elliptic integral when calculating the field in the entire space.

I will share the result I’ve got down below.

I’m going to prepare the upcoming research.