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calculation · Voltage Intensifier Circuit · computed

VIC design session v115: best candidate (Q=100.0, 94.1kHz)

Sweep — screen-guided: live [Choke L (each), Turns, Wire gauge], refined score 0.644

  • Cell — 12mm rod in 14.0mm tube × 50mm, 1 cell(s) parallel → C_eff = 1.55nF, bulk water R = 110433Ω.
  • Water/electrodes (Randles) — 0.1ppm Na+ @ 4°C, surface ×0.5 → λ_D 228nm, C_dl 1.7µF, cell series R 10.7Ω, displacement current 99.0%, breakdown margin ×56.
  • Fig-8 voltammetry (4,798,661) — τ_EDL 187605.5µs (17663.0 carrier cycles to charge), Faradaic leakage at peak 60.9mA (leak score 0.61 — keep amp leakage inhibited while voltage climbs the ladder).
  • Vapor-film discharge (CGDE onset, 1199V across 0.1mm film) — regime townsend-avalanche, film Paschen 797V, 478 Td — OUTSIDE the 80-250 Td cold window.
  • Townsend α/γ — γ = 0.002 (electrode lever), criterion M = γ(e^{αd}−1) = 13569.803 → self-sustaining (M≥1) — γ feedback closed, heading for thermalization.
  • Per-molecule (series micro-capacitor chain) — 3.70M molecules across 1.00mm → 323.85 µV/molecule (polarization (µV band)).
  • Chokes — 2 × 0.000919H (20 turns, AWG 18, 2m wire, AC R 0.1Ω each).
  • At resonance f_r = 94.15kHz — Xl = 1087Ω, Xc = 1087Ω, tank Q = 100.0, coil Q = 6327.4.
  • Cell voltage 1199V from 12V drive (×100.0). Tank current 1.10A circulating (CW upper bound — rate wire/switch for this); average input 22mA at 2% duty.
  • No hard violations (band, wire length, dielectric). Average current is scored, not gated.
  • Score 0.776.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Voltage Intensifier Circuit
Component
choke
Source Ref
design session v115
Notebook Id
1647

design-loop Q resonance