Three Phase Power Calculator

P = √3 × V_line × I_line × PF. Click any i for detail.

Jump to result

Circuit

Solve for
i
Mode

Power from volts, amps, and PF — or amps from watts.

Line-line volts
i
Volts

Typical 208 or 480 V three-phase in buildings.

Line amps
i
Amps

Used when solving for power.

Watts
i
Watts

Real power, used when solving for current.

Power factor
i
PF

Real power ÷ apparent power. Motors often 0.8–0.9 lagging.

How to use this calculator

  1. Pick power or current.
  2. Enter line-line volts.
  3. Enter amps or watts.
  4. Set PF (1.0 if you want a resistive sketch).

Results explained

P = √3 × V × I × PF. kVA = √3 × V × I / 1000 (PF ignored). Single-phase watts-to-amps is the other converter.

Quick reference: three-phase

√3 ≈ 1.732.

ItemDetail
208 V × 10 A × 0.85 PFSee kW on the result
kVA vs kWkW = kVA × PF
Single-phaseWatts to amps calculator
Voltage drop 3φVoltage drop calculator (3φ factor)

Unbalanced legs and harmonics are not modeled.

How the estimate is built

P = √3 × V × I × PF. I = P / (√3 × V × PF).

Example scenario

208 V, 10 A, PF 0.85 → about 3.06 kW.

FAQ

Line-neutral volts?

This page wants line-line.

Horsepower of a motor?

Nameplate HP ≠ this kW without efficiency.

DC?

Use watts to amps with PF 1.