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Output Transformers

The critical link between tube and speaker. How impedance matching, core design, and winding geometry determine the bandwidth, power delivery, and sonic character of a vacuum tube amplifier.

01 — The Problem

Why Transformers?

Vacuum tubes are high-voltage, high-impedance devices. Speakers are low-voltage, low-impedance loads.

A typical output tube like the EL34 wants to see a load of 3.4kΩ at its plate. Your speaker presents . Without an impedance-matching device, nearly all the signal power would be lost — the tube cannot drive the speaker directly.

The output transformer converts high-voltage, low-current energy from the tube into low-voltage, high-current energy for the speaker. It does this through electromagnetic coupling between two coils wound around a shared iron core. The turns ratio between primary and secondary determines the impedance transformation.

Unlike a resistor that dissipates energy as heat, an ideal transformer transfers 100% of the power. In practice, losses from winding resistance, core hysteresis, and eddy currents reduce efficiency to 85–95% for quality designs. The transformer is the single most expensive and most sonically important component in any tube amplifier.

P_speaker = P_tube × η   |   V_sec = V_pri / N   |   I_sec = I_pri × N
02 — Impedance Matching

The Turns Ratio

Primary impedance is the square of the turns ratio times the load impedance.

Z_primary = N² × Z_load     N = turns_primary / turns_secondary
Turns ratio25:1
Speaker Z
Primary Z5.0kΩ
Turns ratio25:1
Speaker Z8Ω
V ratio25:1
I ratio1:25
Power matchOptimal

Example: A 25:1 transformer with a 8Ω speaker reflects 5.0kΩ to the plate. If the tube sees its rated plate-to-plate load, maximum power transfers to the speaker with minimum distortion.

03 — Topology

SE vs Push-Pull

The two fundamental transformer architectures have profoundly different requirements.

Single-Ended
B+PlateAir gap(preventssaturation)DC biasSINGLE-ENDEDDC flows through primary

DC bias current flows continuously through the primary winding, magnetizing the core. An air gap is mandatory to prevent core saturation.

The air gap reduces primary inductance, which hurts bass response. SE transformers need larger cores and more turns to compensate — making them expensive.

Even-order harmonics (2nd, 4th) are not cancelled, contributing to the characteristic "warm" SE sound.

Push-Pull
B+CTP(a)P(b)I(a)I(b)PUSH-PULLDC cancels at center tap

Two tubes drive opposite halves of the primary. Their DC currents flow in opposing directions and cancel in the core — no air gap needed.

Without an air gap, full core permeability is available. This means higher primary inductance, better bass, and wider bandwidth for a given core size.

Even-order harmonics cancel in the transformer. The result is lower measured distortion, though some audiophiles prefer the harmonic content of SE designs.

ParameterSEPush-Pull
Air gapRequiredNone
DC in coreFull bias currentCancels to zero
Even harmonicsPresentCancelled
Core utilizationPoor (gap reduces L)Excellent
Bass responseLimited by gapSuperior
Power / sizeLowerHigher
Cost / wattHigherLower
04 — Bandwidth

Frequency Response

Two inductances define the transformer's usable bandwidth: primary inductance controls bass, leakage inductance controls treble.

f_low = R_plate / (2π × L_primary)
f_high = R_plate / (2π × L_leakage)

Primary inductance (L_p) must be large enough that its reactance exceeds the plate resistance at the lowest desired frequency. More turns and a larger core increase L_p, extending bass response. For SE transformers, the air gap dramatically reduces L_p.

Leakage inductance (L_lk) is caused by imperfect magnetic coupling between primary and secondary. It forms a low-pass filter with the load capacitance. Interleaving the windings (P-S-P-S) reduces leakage at the cost of increased inter-winding capacitance.

L primary20H
L leakage15mH
R plate3.5kΩ
f low (-3dB)27.9Hz
f high (-3dB)37.1kHz
Bandwidth1333xratio
Decades3.1dec
05 — Ultralinear

Screen Grid Taps

Connecting the screen grid to a tap on the primary winding blends pentode power with triode linearity.

In a standard pentode amplifier, the screen grid is connected to a fixed supply voltage. In triode mode, it is connected directly to the plate. The ultralinear connection taps the screen grid at a point between B+ and the plate on the primary winding, typically around 43% from the B+ end.

This creates a form of local voltage feedback: as the plate voltage swings, the screen voltage follows proportionally. The result is significantly lower distortion than pentode mode, with only a modest reduction in output power. The optimal tap point (around 40–45%) was determined empirically by Hafler and Keroes in their landmark 1951 paper.

UL Tap43%
B+to PlateScreen gridtap: 43%100%50%0%ULTRALINEAR
Performance at 43% tap
THD (relative)1.8%
Power (relative)79%
Output Z5.2Ω (norm.)
Damping factor1.5(8Ω spk)
ModeUltralinear
The sweet spot: ultralinear operation minimizes distortion while retaining 80-85% of pentode power. Most quality push-pull amplifiers use this region.
06 — Reference

Practical Specifications

Matching transformers to tubes: recommended primary impedances and expected performance.

TubeTypePrimary ZPowerBandwidthNotes
300BSE2.5k-3.5kΩ7-10W20Hz-40kHzNeeds quality air-gapped core
2A3SE2.5k-5kΩ3.5-4.5W25Hz-35kHzLower power, premium iron essential
EL34PP3.4k-6.6kΩ25-50W15Hz-50kHzClassic ultralinear at 43% tap
KT88PP3.4k-6.6kΩ35-100W12Hz-60kHzHigh power, needs robust core
6L6PP4k-8kΩ20-40W20Hz-45kHzGuitar amps: 6.6k typical
6V6PP5k-10kΩ10-18W25Hz-40kHzLower power, excellent for hifi
EL84PP5k-10kΩ10-17W20Hz-45kHzCompact, great UL performance
45SE3k-5kΩ1.5-2W30Hz-30kHzLow power DHT, needs best iron

Selecting a transformer: The primary impedance should match the tube manufacturer's recommended plate-to-plate (PP) or plate-to-B+ (SE) load impedance. Using a lower impedance increases power but also distortion; a higher impedance reduces distortion but limits maximum output before clipping.

Core material matters: M6 grain-oriented silicon steel is standard. Premium transformers use nickel alloys (Permalloy, mu-metal) for the inner laminations to reduce hysteresis distortion at low levels. Amorphous and nanocrystalline cores offer the lowest losses but at significantly higher cost.

07 — Equations

Key Relationships

Essential formulas for output transformer design and analysis.

Impedance & Ratio
Z_pri = N² × Z_sec
N = √(Z_pri / Z_sec)
V_sec = V_pri / N
I_sec = I_pri × N
Bandwidth
f_low = R_p / (2π · L_pri)
f_high ≈ R_p / (2π · L_lk)
BW = f_high / f_low
L_pri = µ · µ_0 · N² · A_core / l_path
Power & Losses
P_out = V_rms² / Z_load
P_core = k · f¹·⁶ · B² · Volume
P_copper = I² · R_winding
η = P_out / (P_out + P_core + P_cu)
SE Core & Gap
L_gap = µ_0 · N² · A / l_gap
B_dc = µ_0 · N · I_dc / l_gap
B_max = B_dc + B_ac < B_sat
l_gap ≈ µ_0 · N · I_dc / B_max
Design rule of thumb: For SE transformers, primary inductance should be at least 4× the plate resistance at the lowest desired frequency. For PP transformers, the reflected load impedance should match the tube's rated load within ±20% for optimal power and distortion performance.
Quiz de synthèse

Test Your Knowledge

Validate your understanding of output transformer design before moving on.

Question 1 / 6

Why can't a tube drive a speaker directly without a transformer?

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