calculation · Voltage Intensifier Circuit · computed
VIC design session v114: best candidate (Q=89.4, 95.1kHz)
Sweep: Hold choke near the AWG18 1mH/200T champ (fine grid) and deep-taper peak_v to walk the 1179V/470 Td film down into the 80-250 Td CGDE band without touching Q, keeping leakage R_ct-limited at low duty.
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 10.5Ω, displacement current 99.0%, breakdown margin ×57. Fig-8 voltammetry (4,798,661): τ_EDL 187605.5µs (17848.4 carrier cycles to charge), Faradaic leakage at peak 59.0mA (leak score 0.61 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 1162V across 0.1mm film): regime townsend-avalanche, film Paschen 797V, 463 Td — OUTSIDE the 80-250 Td cold window. Townsend α/γ: γ = 0.002 (electrode lever), criterion M = γ(e^{αd}−1) = 5488.950 → self-sustaining (M≥1) — γ feedback closed, heading for thermalization. Per-molecule (series micro-capacitor chain): 3.70M molecules across 1.00mm → 313.73 µV/molecule (polarization (µV band)). Chokes: 2 × 0.0009H (180 turns, AWG 18, 21m wire, AC R 0.8Ω each). At resonance f_r = 95.14kHz: Xl = 1076Ω, Xc = 1076Ω, tank Q = 89.4, coil Q = 692.7. Cell voltage 1162V from 13V drive (×89.4). Tank current 1.08A 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 0.755.
Basis
- Confidence
- 0.70
- Method
- townsend-v5
- Recorded
- Published
- 30 Aug 2026
- Device
- Voltage Intensifier Circuit
- Component
- choke
- Source Ref
- design session v114
- Notebook Id
- 1646
design-loop Q resonance