kW to Volts

Find the voltage a circuit must be operating at, given its real power, measured current and power factor.

kW to Volts Calculator

V = kW × 1,000 ÷ (√3 × A × PF)
50 kW
kW
85 A
A
0.9 PF
PF
Quick values

At a glance

V = kW × 1,000 ÷ (√3 × A × PF)
Voltage
377.4 V
Real power
50 kW
Measured current
85 A
Power factor
0.9 PF
Supply type
3

Every diagram and table on this page updates with the calculator above.

Output

Live
Voltage
377.4V
V = (50 × 1,000) ÷ (√3 × 85 A × 0.9) = 377.4 V
Apparent power55.56 kVA

The kW to Volts Formula

V (3-phase) = kW × 1,000 ÷ (√3 × A × PF)
V (1-phase) = kW × 1,000 ÷ (A × PF)

In practice voltage is set by the supply, not derived from power. This calculation earns its place as a cross-check: if a set of measurements does not produce a plausible voltage, one of them is wrong.

The conversion

Live
Input50kW
Result377.35V
Power and current to voltage

Does the Result Land on a Standard Voltage?

Supply voltages are standardised. If your answer is nowhere near one of them, the inputs deserve another look before the conclusion does.

NominalWhere it is usedTypical tolerance
120 VNorth American single phase±5%
208 VNorth American three phase (wye)±5%
230 VEuropean single phase+10% / −6%
400 / 415 VEuropean three phase±10%
480 VNorth American industrial±10%
690 VLarge industrial plant±10%
  • A result near 230 V on a supposedly three-phase circuit usually means a single-phase measurement.
  • A result three times too low points to phase voltage being used where line voltage belongs.
  • A wildly high result usually means the power factor assumption is far too low.

Voltage gauge

Live
0700
377.35 VCalculated voltage
Your result on a low-voltage scale

kW to Volts Conversion Chart

Power values converted at your measured current, power factor and supply type.

Conversion chart

Live
kWVoltage (V)Apparent power (kVA)
1 kW7.51.11
2 kW15.12.22
5 kW37.75.56
7.5 kW56.68.33
10 kW75.511.11
15 kW113.216.67
22 kW16624.44
30 kW226.433.33
45 kW339.650
55 kW415.161.11
75 kW56683.33
90 kW679.2100
110 kW830.2122.22
150 kW1,132.1166.67
200 kW1,509.4222.22
300 kW2,264.1333.33

Nominal Voltage vs What You Measure

A 400 V board measuring 392 V under load is entirely normal. Supply tolerance, transformer tap position and volt drop along the cable all contribute.

Volt drop = (mV/A/m × A × length) ÷ 1,000

Cable tables give the mV/A/m figure for each conductor size.

Circuit typeTypical limitAt 400 V
Lighting3%12 V
Power circuits5%20 V
Motor starting (transient)10–15%40–60 V
Low voltage costs you current

A motor delivering fixed mechanical power at reduced voltage draws more current to compensate, running hotter and shortening its insulation life.

Phase relationship

Live
Voltage CurrentShift 25.8°
Voltage and current phase relationship

Voltage for Every Power and Current

Read across or down to see how sensitive the answer is to each measurement — and how quickly a small current error moves the result.

Voltage lookup grid

Live
V for each kW × A combination
kW20 A50 A85 A125 A200 A
5 kW16064382616
15 kW4811921137748
30 kW96238522615496
50 kW1,604642377257160
75 kW2,406962566385241
110 kW3,5281,411830565353
160 kW5,1322,0531,208821513

Where This Calculation Earns Its Keep

Verifying measurements

Check a set of readings against each other before trusting them for a design decision.

Unlabelled equipment

Work out the intended supply for a machine whose nameplate is missing or illegible.

Commissioning

Confirm that a drive or motor is seeing the voltage the commissioning sheet claims.

Before trusting the answer
  • Current measured on a single conductor, not a pair.
  • Power factor measured rather than assumed, where it matters.
  • Single or three phase correctly selected.
  • Readings taken at the same moment and the same load condition.
  • Result compared against the nearest standard nominal voltage.

Voltage against current

Live
32,075011,000Current (A)
85 A377.35 V
How the calculated voltage falls as current rises for fixed power

kW to Volts Questions

Common questions about converting kw to volts.

V = kW × 1,000 ÷ (√3 × A × PF) for three phase, or without the √3 for single phase. You need current and power factor as well as power.

No. Power is the product of voltage, current and power factor, so at least two of the three must be known.

At 85 A and 0.9 power factor the answer is about 377 V, which points to a nominal 400 V supply with volt drop under load.

Usually the power factor is an estimate, the current is unbalanced, or a single-phase measurement has been used with the three-phase formula.

Most installation standards limit it to around 3% for lighting and 5% for power circuits, measured from the origin to the furthest point.

It draws more current to deliver the same mechanical power, which raises winding temperature and shortens insulation life.