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calculation · Water Fuel Cell · computed

WFC design session v33: best candidate (Q=25.0, 98.9kHz)

Sweep — Walk Td down into 80-250 by sweeping sub-3mm gaps and lower-Q geometry driven harder at higher peak_v/low duty, on the cold/pure/passivated Randles floor.

  • Cell — 14mm rod in 19.0mm tube × 120mm, 1 cell(s) parallel → C_eff = 1.85nF, bulk water R = 37641Ω.
  • Water/electrodes (Randles) — 0.5ppm Na+ @ 8°C, surface ×0.4 → λ_D 103nm, C_dl 8.9µF, cell series R 20.1Ω, displacement current 97.7%, breakdown margin ×180.
  • Fig-8 voltammetry (4,798,661) — τ_EDL 333873.3µs (33015.7 carrier cycles to charge), Faradaic leakage at peak 109.2mA (leak score 0.48 — keep amp leakage inhibited while voltage climbs the ladder).
  • Vapor-film discharge (CGDE onset, 899V across 0.1mm film) — regime townsend-avalanche, film Paschen 719V, 358 Td.
  • Per-molecule (series micro-capacitor chain) — 9.26M molecules across 2.50mm → 97.04 µV/molecule (polarization (µV band)).
  • Chokes — 2 × 0.0007H (900 turns, AWG 22, 107m wire, AC R 7.4Ω each).
  • At resonance f_r = 98.89kHz — Xl = 870Ω, Xc = 870Ω, tank Q = 25.0, coil Q = 59.0.
  • Cell voltage 899V from 36V drive (×25.0). Tank current 1.03A circulating (CW upper bound — rate wire/switch for this); average input 21mA at 2% duty.
  • No hard violations (band, wire length, dielectric). Average current is scored, not gated.
  • Score 0.643.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Water Fuel Cell
Component
cell
Source Ref
design session v33
Notebook Id
1596

design-loop Q resonance