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Inductor coil of the highest possible Q

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arxiv 2001.10044 v2 pith:TLE4TDZ5 submitted 2019-11-27 physics.class-ph

classification physics.class-ph
keywords coilhighestinductorpossibleq-factoraccordingcross-sectionevolves
verification ladder T0 review T1 audit T2 compute T3 formal
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The geometry of an inductor made of a long thin wire and having the highest possible Q-factor is found by numerical optimization. As frequency increases, the Q-factor first grows linearly and then according to a square-root law, while the cross-section of the optimal coil evolves from near-circular to sickle-shaped.

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