Cc
Workbench / Tone & Signal

Coupling Capacitor

High-pass corner and cascaded phase shift.

Interstage Coupling

Previous stage Zout (Ra ∥ rp)

Identical stages cascaded
plateRsource38 kΩCc22 nFRg1 MΩgrid
RC coupling network
MAGNITUDE1101001k10k-30-25-20-15-10-50FREQUENCY (Hz)dB6.97 Hz20 Hz
single stage1 stage
PHASE SHIFT1101001k10k04590FREQUENCY (Hz)DEG
Phase lead (°)
−3 dB (one stage)
6.97 Hz
−3 dB (1 stages)
6.97 Hz
At 20 Hz
-0.50 dB
phase +19°
C for 10 Hz
15.3 nF
Engineering Notes

How it works

Valve stages sit at very different DC voltages (a plate at +200 V, the next grid at 0 V), so they are joined by a coupling capacitor that blocks DC but passes audio. Together with the following grid-leak resistor it forms a first-order high-pass filter:

fc = 1 / (2π · Cc · (Rg + Rsource))

Below fc the response falls at 6 dB/octave and the phase leads by up to 90°. In a multi-stage amplifier, the corners stack up; n identical stages are −3 dB at a much higher frequency, and the total phase shift approaches n×90°, a real concern in feedback amplifiers where it can cause low-frequency instability ("motorboating").

fc(n) = fc / √(2^(1/n) − 1)

Guitar amps deliberately use small coupling caps (1–22 nF) to tighten bass before distortion stages, whereas hi-fi designers place the corner a decade or more below 20 Hz and stagger the corners between stages.