Abstract
An analytical expression of AC resistance of a single-layer air-core Helmholtz coil is presented. Proximity efiects between both bundles and strands of litz-wire as well as skin efiect are considered. To obtain an accurate analytical expression of proximity efiect on bundle level and strand level, a precise distribution of magnetic fleld is discussed. The analytical expression of AC resistance and quality factor is verifled with the experimental results, and the theoretical predictions are in agreement with the measured results.
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