Question

Two circular loops with the same radius carrying the same current. have their centers on the z-axis separated by a distance s with their planes parallel to the xy plane. Find an expression for the B field, on the axis, and between the loops assuming one of the loops's center coincides with the origin.

Answer 1

Magnetic field due to a ring at a point on its axis =

Therefore magnetic field at any point between the loops is ,

Where 'z' is the distance from the origin to the point between the loops, the first term in the above expression is due to the loop whose center coincide with the origin and the second term in the above expression is due to the loop whose center is at a distance 's' from the origin along direction