1. The problem statement, all variables and given/known data While at an engineering internship, you reminisce about the similarities between gravitational fields, electric fields, and magnetic fields. You know that two infinite sheets of opposite charge can be used to create a uniform electric field (for points between the two sheets) and you know that two infinite arrays of opposite current carrying wires can produce a uniform magnetic field (for points between the two arrays), but the direction of your internship reminds you that there is another possibility. You recall that two large coils with N tight turns of radius R can yield a uniform magnetic field. If the two coils are separated by a distance R, where along the x-axis is the magnetic field uniform, and what additional calculations might you need in order to convince your director that the field is indeed uniform? 2. Relevant equations 3. The attempt at a solution I found an image that depicts how I was visualizing this scenario Wouldn't the field simply be uniform along the x-axis? Or would it be specifically at the center of each ring/coil. I guess since the field decreases with increasing distance, then it would seem logical that the field is uniform at the centers. Numerically, couldn't we obtain values of the field as a function of position, plot them, and determine where the derivatives are 0? Implying that the field is unchanging and thus uniform?