Exemplar coil — optimal LC-tank inductor
Few-turn fat-conductor helix, transposed strand bundle, cutaway serving
n = 3 turns · Ns = 61 strands · lay ≈ 6 twists
bundle w ≈ ℓ/4.5 · cube side = ℓ (wireframe)
Illustrative constants. Along the optimal trajectory: strand ∅ = Θ(δ²/ℓ),
Ns = Θ((ℓ/δ)⁴), w = Θ(ℓ). The translucent shroud is the
bundle’s serving (jacket); the cut end exposes the strand cross-section.