Line to Phase Voltage Calculator
Convert three-phase line-to-line (V_LL) and line-to-neutral (V_LN) voltages for balanced and phasor cases. Includes formulas, examples (230/400, 480/277), and conversion guidance.
line-to-neutral voltage formula
To convert line (line-to-line) voltage to phase (line-to-neutral) in a balanced three-phase wye system use **VLN = VLL ÷ √3**. Reverse with **VLL = √3 × VLN**. For unbalanced systems, compute phasor subtraction (Vab=Va∠θa − Vb∠θb) and take the magnitude to find the corresponding line voltage.
Formula & Table Summary:
Sample Data Table
| Line Voltage (VL) | Phase Voltage (VP) |
|---|---|
| 415 V | 240 V |
| 400 V | 231 V |
| 208 V | 120 V |
three phase phase voltage tool
The Line-to-Phase Voltage Calculator converts between line-to-line (VLL) and line-to-neutral / phase voltages (VLN) for three-phase systems. For balanced wye systems use the simple relation VLN = VLL/√3 (RMS values); conversely VLL = √3·VLN. For unbalanced or phasor inputs, compute each line voltage via phasor subtraction (e.g., Vab=Va∠θa − Vb∠θb) and take magnitudes. Use RMS consistently for equipment sizing; convert to peak if needed (Vpeak=√2·Vrms). This tool helps electricians, engineers and students quickly check standard utility values (230/400, 277/480), design wye/delta connections, and verify per-phase calculations.
line to phase voltage calculator
| Parameter | Symbol | Relation |
|---|---|---|
| Line Voltage | VL | √3 × VP |
| Phase Voltage | VP | VL / √3 |
