Part of JMAG-01 — Magnetic Effects: Biot-Savart & Ampere's Law

Helmholtz Coils

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Two identical coaxial coils of radius RR separated by distance RR (equal to radius) carrying current in the same direction create a nearly uniform field in the region between them. At the midpoint: B=8μ0NI55RB = \frac{8\mu_0 NI}{5\sqrt{5}R}. This setup is used in laboratories to produce uniform fields. The uniformity arises because the first derivative of BB with respect to position vanishes at the midpoint.

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