N²
Workbench / Output Stage

Output Transformer Match

Turns ratio and reflected impedance for any tap.

Transformer

Topology
Secondary tap used

e.g. two 8 Ω cabs in parallel = 4 Ω

B+ (CT)Plate APlate B6.6 kΩ8 ΩN = 28.72 : 1
Impedance transformation
Turns ratio
28.72 : 1
Impedance ratio
825 : 1
Reflected primary
6.6 kΩ
+0% vs nominal
Per valve load
1.65 kΩ
class A: 3.3 kΩ · class B: 1.65 kΩ
REFLECTED PRIMARY IMPEDANCE VS. SPEAKER LOAD2510200510152025SPEAKER LOAD (Ω)PRIMARY (kΩ)nominal 6.6 kΩ6.6 kΩ
4 Ω tap8 Ω tap16 Ω tap
Engineering Notes

How it works

An output transformer does not have "an impedance" of its own: it has a turns ratio, and it transforms whatever load is connected to the secondary by the square of that ratio. The "6.6 kΩ : 8 Ω" printed on a transformer simply means: with 8 Ω connected to the 8 Ω tap, the valves see 6.6 kΩ.

N = Np/Ns = √(Zp/Zs) Zreflected = Zload × N²

Connect a 4 Ω cabinet to the 8 Ω tap and the primary impedance halves; connect 16 Ω and it doubles. Valve amps are fairly tolerant of a one-step mismatch; many players like the different feel, but the valve must never run with no load: the reflected impedance becomes infinite and inductive voltage spikes can arc the socket or the transformer.

Push-pull per-valve load

The primary of a push-pull transformer is centre-tapped. Impedance scales with turns², so half the winding presents a quarter of the full impedance. In the class B region only one valve drives its half and sees Raa/4. In the class A region both valves work together, each effectively seeing Raa/2. Class AB load lines are therefore drawn with Raa/4, bending to Raa/2 around the idle point.