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In the special case of a wire in free space, the integral is easy to evaluate. At a radius r, the field is uniform over a circular path round the wire , the path length is 2πr. So for the magnetic field B at a radius r from a wire in free space, [[File:B2Pir-equals-uoI.jpg]]
 
In the special case of a wire in free space, the integral is easy to evaluate. At a radius r, the field is uniform over a circular path round the wire , the path length is 2πr. So for the magnetic field B at a radius r from a wire in free space, [[File:B2Pir-equals-uoI.jpg]]
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[[File:Circular-field.jpg]]
     
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