Ok, just a quick question. I'm working through a problem in my physics book and I am asked to find the magnetic force on a current carrying wire that runs along the equator of a sphere. So the wire is not straight, but curves along with the sphere, off the surface of it (not levitating). My book also mentions that the magnetic force on a curved current carrying wire is the same as the magnetic force on a straight wire connecting the either end with the same current. My question is this: Am I to assume that if I only have the CURVED portion of wire (there is nothing connecting either end) that I could simply find the magnetic force of a straight wire of the same length and they would have the same magnetic force acting on them?