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calculation · Voltage Intensifier Circuit · computed

VIC design session v113: best candidate (Q=88.7, 95.1kHz)

Sweep: Hold the AWG18 1mH/200T champ choke and drive a DEEP peak_v taper (30-120V, well below prior mild trims) at low duty to walk the 470 Td film down into the 80-250 Td CGDE band via linear V_cell scaling, checking Faradaic leakage stays R_ct-limited.

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 ×25. Fig-8 voltammetry (4,798,661): τ_EDL 187605.5µs (17848.4 carrier cycles to charge), Faradaic leakage at peak 135.1mA (leak score 0.43 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 2662V across 0.1mm film): regime streamer, film Paschen 797V, 1062 Td — OUTSIDE the 80-250 Td cold window. Townsend α/γ: γ = 0.002 (electrode lever), criterion M = γ(e^{αd}−1) = 11267740080004854.000 → self-sustaining (M≥1) — γ feedback closed, heading for thermalization. Per-molecule (series micro-capacitor chain): 3.70M molecules across 1.00mm → 718.84 µV/molecule (polarization (µV band)). Chokes: 2 × 0.0009H (190 turns, AWG 18, 23m wire, AC R 0.8Ω each). At resonance f_r = 95.14kHz: Xl = 1076Ω, Xc = 1076Ω, tank Q = 88.7, coil Q = 656.2. Cell voltage 2662V from 30V drive (×88.7). Tank current 2.47A circulating (CW upper bound — rate wire/switch for this); average input 49mA at 2% duty. No hard violations (band, wire length, dielectric). Average current is scored, not gated. Score 0.706.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Voltage Intensifier Circuit
Component
choke
Source Ref
design session v113
Notebook Id
1645

design-loop Q resonance