Distance between current-carrying loops

[Brainy_Mike]

If I generate current through two identical loops (parallel) of transformer wire in the same direction, why do they produce an uniform magnetic field at the centre of the space between the loops ONLY IF the separation distance between the loops is equal to the radius of each coil? and not if they are closer?

Thanks

 

[Andrew Mason]

If I generate current through two identical loops (parallel) of transformer wire in the same direction, why do they produce an uniform magnetic field at the centre of the space between the loops ONLY IF the separation distance between the loops is equal to the radius of each coil? and not if they are closer?

What do you mean by the "centre of the space between the loops"? Are you referring to a plane that is equidistant from the plane of each loop? Or are you referring to the axis between the centres of the two loops?

AM

 

[Brainy_Mike]

the midpoint on the axis through the centres of the two loops

 

[Andrew Mason]

the midpoint on the axis through the centres of the two loops

That is a point. What do you mean by 'uniform'? Uniform means the same over a number of points.

AM