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Fundamentals · Interactive

How Vacuum Tubes Work

From heated cathode to amplified signal — animated demonstrations of thermionic emission, the diode, the triode, and beyond.

01 — The Principle

Thermionic Emission

Heat a metal, free the electrons

When a metal is heated to a sufficiently high temperature, electrons gain enough kinetic energy to escape from the surface. This is thermionic emission — the fundamental principle behind every vacuum tube.

In a vacuum tube, the cathode is heated (either directly by passing current through a filament, or indirectly by a separate heater element), releasing a cloud of electrons into the surrounding vacuum. Without an electric field to attract them, these electrons form a space charge — a hovering cloud near the cathode surface.

Richardson-Dushman: J = A × T² × e(−φ/kT)
Current density depends exponentially on temperature and work function
02 — The Diode

The Simplest Tube

Place a positive plate near the cathode and electrons flow

Add a positively charged plate (anode) near the cathode, and electrons are attracted across the vacuum. Current flows. Reverse the voltage — plate is negative — and no current flows. The tube conducts in one direction only. This is rectification.

Drag the slider to change the plate voltage. Watch how electron flow responds — more voltage, more acceleration, more current. Go negative and the flow stops completely.

Plate V100V
03 — The Triode

Adding Control

A wire grid between cathode and plate — the birth of amplification

Insert a wire mesh — the control grid — between cathode and plate. A small voltage on this grid modulates the much larger electron flow. A few volts on the grid can control hundreds of volts at the plate. This is amplification.

The grid is close to the cathode, so it has a strong electrostatic influence on the electron stream. Make the grid more negative, and it repels electrons back toward the cathode — fewer pass through. Make it less negative (or positive), and more electrons stream toward the plate.

Grid V-2V

Notice how a small change in grid voltage (the slider) produces a large change in plate current. The ratio — how many volts at the plate one volt on the grid controls — is the amplification factor μ. A 12AX7 has μ = 100: one volt on the grid controls 100 volts at the plate.

04 — Parameters

The Three Key Parameters

μ, Gm, and rp — connected by the Barkhausen equation

μ (Mu) — Amplification Factor

How many volts at the plate one volt on the grid controls. High μ = high gain per stage. 12AX7: μ=100. 12AU7: μ=17. 300B: μ=3.9.

Gm — Transconductance (mA/V)

How effectively the grid controls plate current. High Gm = fast, detailed response. Measured as change in plate current per volt of grid change.

rp — Plate Resistance (Ω)

The tube's internal impedance. Low rp = better load control and damping. Triodes have lower rp than pentodes, which is why they're prized for bass quality.

Barkhausen Equation Calculator
μ = Gm × rp
Solve for:
μ100
Gm1.6
μ
100
Gm
1.6
mA/V
rp
62.5kΩ
05 — Evolution

From Diode to Pentode

Each added grid trades simplicity for performance

Diode2 elements
Triode3 elements
Tetrode4 elements
Pentode5 elements
Tetrode

A screen grid between control grid and plate reduces Miller capacitance (Cgp), enabling higher gain at radio frequencies. The trade-off: secondary emission causes the “tetrode kink” — a region of negative resistance.

Pentode

A suppressor grid (connected to cathode) repels secondary electrons back to the plate, eliminating the tetrode kink. Maximum gain and power, but with more complex harmonics (3rd, 5th).

Beam Tetrode

Uses beam-forming plates instead of a suppressor grid. Focused electron beams create a virtual suppressor through space-charge effects. The 6L6, KT66, KT88 — legendary power tubes.

Ultralinear

Screen grid connected to a tap on the output transformer (40-43%). Combines triode linearity with pentode power. The Dynaco ST-70 topology.

06 — Heating

Direct vs Indirect Heating

Two approaches to thermionic emission, each with distinct character

DHT (Direct)IHT (Indirect)
CathodeFilament IS the cathodeSeparate heater warms cathode sleeve
HumRequires DC heater or hum potInherently low AC hum
Warm-upFast (seconds)Slower (30-60 seconds)
Sound characterIntimate, pure, directClean, detailed, versatile
Examples300B, 2A3, 45, 21112AX7, 6SN7, EL34, 6L6
Typical useSET output, high-end audioPreamps, push-pull, guitar
07 — Reference

Fundamental Equations

μ = Gm × rp
Av = μ × RL / (rp + RL)
Cgpeff = Cgp × (1 + Av)
Pd = Va × Ia
Zout = rp ‖ RL
Gm = ΔIa / ΔVg
Quiz de synthèse

Test Your Knowledge

Review the key concepts of vacuum tube operation covered in this guide.

Question 1 / 7

What is the physical principle that allows a vacuum tube to function?

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