ELECTRICAL / CALCULATOR
Transformer
Convert ideal winding voltage and turns, and single-phase or balanced three-phase apparent power and current.
Input Parameters
Edit the example values. Results update as you type.
Use winding terminal voltage for turns-ratio mode and line voltage for three-phase rating mode.
Results
- Theoretical Secondary Turns N₂
- 24turns
- Turns Ratio N₁/N₂
- 9.583
- Current Ratio I₁/I₂
- 0.1043
Formula
V₁/V₂ = N₁/N₂ · I₁/I₂ = N₂/N₁Substitution
N₂ = 230 × 24 / 230 = 24 turnsCalculation Steps
- Rearrange the ideal transformer voltage-to-turns relationship for the required quantity.
- Substitute RMS values to obtain turns ratio 9.583; the current ratio is its reciprocal, 0.1043.
Result Explanation
Ideal relationship for a single-phase transformer or an individual phase winding. The three-phase line-voltage relationship also depends on the vector group. Actual windings require integer-turn and equipment-design checks.
Formulas and FAQ
V₁/V₂ = N₁/N₂ · S = k × V × ICan three-phase line voltage be used directly in the turns ratio?
Turns ratios use winding phase voltage. Three-phase line voltage also depends on the connection group. Apparent-power mode uses balanced line voltage and line current with k=√3.