Advanced Techniques

Advanced Passive Components

Resistors, capacitors, and wire — the humble passives that shape your amplifier’s voice. Component selection in tube circuits is measurable engineering, not mythology. This module covers the physics behind the choices.

Fundamentals

Why Component Selection Matters

Carbon comp vs metal film, capacitor dielectrics, wire-wound inductors

In tube circuits operating at high voltages (250–450V) and low currents (1–10mA), passive component choices directly affect sound quality, reliability, and noise floor. A coupling capacitor's dielectric absorption can smear transients. A resistor's excess noise adds hiss. Wire routing creates ground loops.

Carbon composition resistors were standard in the tube era but generate 3–6dB more noise than modern metal film types. In a high-gain preamp with A_v = 60, that excess noise is amplified to audible levels. Component selection is not audiophile mythology — it is measurable engineering.

V_n = √(4 · k_B · T · R · Δf)

Every resistor generates Johnson-Nyquist noise proportional to its resistance, temperature, and bandwidth. At 25°C, a 1MΩ resistor produces ~4µV RMS over a 20kHz audio bandwidth. Reducing plate load resistance lowers noise but also reduces gain — a fundamental trade-off.

100kΩ noise (20kHz)1.3µV
1MΩ noise (20kHz)4.1µV

Ref: Horowitz & Hill, "The Art of Electronics" 3rd Ed. §1.2 — Johnson noise and resistor selection

Interactive Calculator

Resistor Thermal Analysis

Noise voltage, temperature drift, and power derating for audio resistors

Adjust the resistor value, operating temperature, and temperature coefficient to see real-world effects. Carbon comp resistors have TC of 200–500 ppm/°C; metal film types are 50–100 ppm/°C. The V_n formula assumes 20kHz audio bandwidth.

R(T) = R_25 × (1 + TC × ΔT)   |   V_n = √(4 · k_B · T · R · B)
R value100kΩ
Temp25°C
TC100ppm/°C
R at temp100.00
Thermal noise5.74µV RMS
Power derating250mW
R drift0%
Typical temperature coefficients
Carbon comp — 200–500 ppm/°C
Metal film — 50–100 ppm/°C
Wire-wound — 20–80 ppm/°C
Reference

Capacitor Dielectric Comparison

Film, ceramic, electrolytic, mica, oil — ESR, voltage, temperature stability, audio suitability

TypeESRV maxDATemp StabilityAudio Use
Film (PP)<0.01Ω630V0.001–0.02%ExcellentBest for coupling & RIAA
Film (PS)<0.005Ω200V0.001–0.01%ExcellentPremium RIAA, low V only
Paper-in-Oil0.05–0.5Ω1000V+0.01–0.05%GoodClassic tone, HV coupling
Ceramic C0G/NP0<0.01Ω500V<0.01%Excellent (0 ppm)Small values, bypass only
Ceramic X7R/Y5V0.05–1Ω100V2–5%Poor (−15/+22%)Avoid in signal path
Mica<0.01Ω500V0.001%ExcellentPrecision, small values
Electrolytic (Al)0.1–10Ω500V5–15%PoorPSU filter only, bypass with film
Deep Dive

Coupling Capacitor Dielectrics

Polypropylene vs polystyrene vs paper-in-oil for audio coupling

1. Dielectric Absorption (DA)

When a capacitor is charged, then briefly discharged, the voltage partially recovers due to trapped charge in the dielectric. This DA effect smears transients and adds memory distortion. In a coupling cap passing audio, DA creates a subtle form of intermodulation distortion proportional to the signal level.

2. Polypropylene (PP)

The gold standard for tube audio coupling caps. DA of 0.001–0.02%, low ESR, available up to 630V. Wima MKP, Mundorf MCap, and Vishay MKP1837 are common choices. Metalized PP types are self-healing — a major reliability advantage in HV circuits.

3. Polystyrene (PS)

The lowest DA of any common dielectric (0.001–0.01%), and the negative temperature coefficient (−150 ppm/°C) can compensate for positive-TC resistors in RIAA networks. Limited to ~200V and small values (≤10nF typically), so mainly used in phono stages and precision filters.

4. Paper-in-Oil (PIO)

The original tube-era coupling cap. DA of 0.01–0.05% — higher than PP but still good. Available in very high voltage ratings (1000V+). Prized for warm, rich tone in guitar amps. Modern reproductions (Jensen, ASC) offer improved reliability over NOS units. The oil impregnation provides excellent insulation resistance at high voltages.

PP DA0.001–0.02%
PS DA0.001–0.01%
PIO DA0.01–0.05%
Wiring

Wire Gauge & Skin Effect

Hookup wire selection, skin depth at audio frequencies

1. Wire Gauge Selection

For point-to-point tube amp wiring, 22 AWG (0.64mm) solid-core copper is the workhorse gauge. It handles the low currents (1–50mA) with negligible resistance, is stiff enough for turret or eyelet boards, and fits standard tube socket pins. Use 20 AWG for heater wiring (higher current), and 18 AWG for power supply runs where voltage drop matters.

2. Skin Effect at Audio Frequencies

At high frequencies, current crowds toward the wire surface. The skin depth in copper is:

δ = 66.1 / √f  mm   (copper at 20°C)

At 20kHz, skin depth is δ ≈ 0.47mm. A 22 AWG wire has radius 0.32mm — well within the skin depth. Skin effect is negligible at audio frequencies for any standard hookup wire. Claims of audible differences from exotic conductors at audio frequencies are not supported by physics.

3. Practical Wiring Tips

Use PTFE (Teflon) or silicone-insulated wire for high-voltage runs — PVC insulation can break down above 300V. Keep signal wires short and dress them perpendicular to heater wiring to minimize hum pickup. Twist heater supply wires tightly (1 twist per cm) to cancel their magnetic field. Use shielded cable only for long signal runs; the added capacitance can roll off high frequencies in high-impedance tube circuits.

Skin depth 1kHz2.09mm
Skin depth 10kHz0.66mm
Skin depth 20kHz0.47mm
Quiz de synthèse

Testez vos connaissances

Question 1 / 5

Which capacitor dielectric has the lowest dielectric absorption (DA)?