Theory

Passive Filters in Tube Circuits

RC and LC networks for coupling, tone shaping, and frequency selection

Every tube amplifier contains filters — whether intentional or not. The coupling capacitor and grid-leak resistor form a high-pass filter that sets the low-frequency cutoff. The plate load resistor and stray capacitance form a low-pass filter that limits bandwidth. Understanding these inadvertent filters is as important as designing intentional tone controls.

High-pass: f_c = 1 / (2π × C_coupling × R_grid)
Low-pass: f_c = 1 / (2π × R_plate × C_stray)

For a typical preamp stage: C_coupling = 22nF with R_grid = 1MΩ gives f_c = 7.2Hz (subsonic, no audible bass loss). But C_coupling = 1nF with the same grid resistor gives f_c = 159Hz — significant bass rolloff. In guitar amps, this coupling cap value is one of the primary tone-shaping tools.

Calculator

Coupling & Bandwidth Calculator

Explore how coupling caps and stray capacitance define your bandwidth

C_coup22nF
R_grid1.0k
R_plate100
C_stray50pF
HP cutoff7.2Hz
LP cutoff31.8kHz
Bandwidth31.8kHz
Decades3.6
Visualization

Tone Stack Frequency Response

Reference

Classic Tone Stack Circuits

FMV, Baxandall, James — the DNA of every guitar and hi-fi amp

Tone StackInsertion LossCharacterExamples
Fender (FMV)-25 to -30dBScooped mids, brightTwin Reverb, Deluxe Reverb
Marshall (FMV)-18 to -22dBMore midrange, aggressiveJCM800, Plexi
Vox (FMV)-15 to -20dBChimey, janglyAC30, AC15
Baxandall0dB (unity)Flat at noon, HiFiQuad, Leak, McIntosh
James (passive)-6dB at flatGentle shelvingMullard 5-10, Fisher
Big Muff-10dBExtreme mid cutEHX Big Muff Pi
Practice

Designing Tube Audio Filters

1. Coupling Capacitor Selection

For full-range audio: C ≥ 22nF with 1MΩ grid-leak (f_c = 7.2Hz). For guitar: C = 1-10nF intentionally rolls off bass. Capacitor type matters: film caps (Sprague Orange Drop, WIMA MKP) are neutral; silver mica adds a subtle brightness; ceramic disc can introduce distortion at high signal levels. Never use electrolytics in the signal path.

2. The FMV Tone Stack

The Fender-Marshall-Vox (FMV) tone stack is a passive RC network placed between two gain stages. It has 25-30dB of insertion loss at flat — the following gain stage must recover this. The classic Fender values: C_treble = 250pF, C_bass = 100nF, C_mid = 22nF, R_slope = 56kΩ, R_mid = 25kΩ pot. Marshall uses larger C_treble (470pF) for more high-frequency content.

3. Baxandall Active Tone Control

Unlike the FMV stack, the Baxandall circuit uses negative feedback around a gain stage to create shelving EQ with zero insertion loss at the flat position. Bass and treble controls provide boost AND cut (typically ±15dB). This is the standard in hi-fi amplifiers (Quad, Leak, McIntosh). The key advantage: flat frequency response at center position, unlike FMV which always scoops.

Quiz de synthèse

Testez vos connaissances

Question 1 / 5

What determines the low-frequency cutoff of a coupling capacitor / grid-leak resistor combination?

References

  1. Paul Horowitz & Winfield Hill, The Art of Electronics, 3rd ed., Cambridge University Press, 2015. ISBN 978-0521809269Canonical reference for analog design — covers tubes in Ch. 2.4 & Ch. 3.