Electronics

Transformer Turns Ratio

Common turns ratios for mains-to-low-voltage step-down and impedance matching.

Mains step-down ratios

PrimarySecondaryRatio (p:s)
120 V12 V10 : 1
120 V9 V13.3 : 1
120 V5 V24 : 1
240 V24 V10 : 1
240 V12 V20 : 1
240 V5 V48 : 1

Impedance-matching ratios (audio)

Primary ZSecondary ZTurns ratio
8 000 Ω8 Ω~31.6 : 1
4 000 Ω8 Ω~22.4 : 1
2 500 Ω8 Ω~17.7 : 1
600 Ω8 Ω~8.66 : 1
600 Ω600 Ω1 : 1 (isolation)

Formulas

Turns ratio n= N_p / N_s = V_p / V_s
Impedance ratio= n² = Z_p / Z_s
Required turnsDetermined by core flux density: N = V · 10⁸ / (4.44 · f · B · A)

Notes

  • B is peak flux density (gauss); A is core cross-sectional area (cm²); f is line frequency.
  • Real transformers include losses and leakage inductance — no-load voltage is higher than rated full-load voltage by ~5–10%.
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