I assume that if one has several current loops that the magnetic fields that they generate just add together linearlly. Just want to make sure.
Interesting. How would you solve this problem with coupling? The law of Biot and Savart would not work. I guess you would hold the currents in the loops constant.to first order they do, but I think the interaction between the current loops and other magnetic fields would induce emfs which would change the magnetic fields produced, and would further induce emfs, etc.
I suppose, if you assumed no coupling, the fields would just add linearly.