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calculation · Water Fuel Cell · computed

WFC design session v40: best candidate (Q=56.5, 94.5kHz)

Sweep — Finer grid at the 10-12mm×60mm best but use surface_factor as the fresh lever to raise C_dl and hold displacement current while low peak_v + cold pure water crush leakage — landing the film at 150-200 Td without touching gap/length/cell-count again.

  • Cell — 10mm rod in 12.0mm tube × 60mm, 1 cell(s) parallel → C_eff = 1.58nF, bulk water R = 108846Ω.
  • Water/electrodes (Randles) — 0.1ppm Na+ @ 4°C, surface ×0.25 → λ_D 228nm, C_dl 0.9µF, cell series R 10.5Ω, displacement current 99.0%, breakdown margin ×91.
  • Fig-8 voltammetry (4,798,661) — τ_EDL 93655.0µs (8845.9 carrier cycles to charge), Faradaic leakage at peak 18.9mA (leak score 0.86 — keep amp leakage inhibited while voltage climbs the ladder).
  • Vapor-film discharge (CGDE onset, 734V across 0.1mm film) — regime townsend-avalanche, film Paschen 719V, 293 Td.
  • Per-molecule (series micro-capacitor chain) — 3.70M molecules across 1.00mm → 198.26 µV/molecule (polarization (µV band)).
  • Chokes — 2 × 0.0009H (520 turns, AWG 22, 62m wire, AC R 4.2Ω each).
  • At resonance f_r = 94.45kHz — Xl = 1068Ω, Xc = 1068Ω, tank Q = 56.5, coil Q = 126.8.
  • Cell voltage 734V from 13V drive (×56.5). Tank current 0.69A circulating (CW upper bound — rate wire/switch for this); average input 14mA at 2% duty.
  • No hard violations (band, wire length, dielectric). Average current is scored, not gated.
  • Score 0.744.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Water Fuel Cell
Component
cell
Source Ref
design session v40
Notebook Id
1616

design-loop Q resonance