Two identical coaxial coils of radius separated by distance (equal to radius) carrying current in the same direction create a nearly uniform field in the region between them. At the midpoint: . This setup is used in laboratories to produce uniform fields. The uniformity arises because the first derivative of with respect to position vanishes at the midpoint.
Part of JMAG-01 — Magnetic Effects: Biot-Savart & Ampere's Law
Helmholtz Coils
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