Distance between current-carrying loops

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When two identical loops of transformer wire carry current in the same direction, they generate a uniform magnetic field at the midpoint between them only when the distance between the loops equals the radius of each coil. This uniformity occurs because the magnetic fields from both loops reinforce each other at that specific distance. If the loops are closer together, the magnetic fields do not combine uniformly, leading to variations in the field strength. The discussion clarifies the definition of "uniform" as consistent magnetic field strength across multiple points. Understanding the geometry and spacing of the loops is crucial for achieving the desired magnetic field characteristics.
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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
 
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Brainy_Mike said:
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
 
the midpoint on the axis through the centres of the two loops
 
Brainy_Mike said:
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
 

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