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.
kW to Volts
Find the voltage a circuit must be operating at, given its real power, measured current and power factor.
If you have the supply rating rather than the current, start with the kVA to kW calculator.
kW to Volts Calculator
V = kW × 1,000 ÷ (√3 × A × PF)At a glance
- 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
LiveThe kW to Volts Formula
The conversion
LiveDoes 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.
| Nominal | Where it is used | Typical tolerance |
|---|---|---|
| 120 V | North American single phase | ±5% |
| 208 V | North American three phase (wye) | ±5% |
| 230 V | European single phase | +10% / −6% |
| 400 / 415 V | European three phase | ±10% |
| 480 V | North American industrial | ±10% |
| 690 V | Large 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
LivekW to Volts Conversion Chart
Power values converted at your measured current, power factor and supply type.
Conversion chart
Live| kW | Voltage (V) | Apparent power (kVA) |
|---|---|---|
| 1 kW | 7.5 | 1.11 |
| 2 kW | 15.1 | 2.22 |
| 5 kW | 37.7 | 5.56 |
| 7.5 kW | 56.6 | 8.33 |
| 10 kW | 75.5 | 11.11 |
| 15 kW | 113.2 | 16.67 |
| 22 kW | 166 | 24.44 |
| 30 kW | 226.4 | 33.33 |
| 45 kW | 339.6 | 50 |
| 55 kW | 415.1 | 61.11 |
| 75 kW | 566 | 83.33 |
| 90 kW | 679.2 | 100 |
| 110 kW | 830.2 | 122.22 |
| 150 kW | 1,132.1 | 166.67 |
| 200 kW | 1,509.4 | 222.22 |
| 300 kW | 2,264.1 | 333.33 |
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.
Cable tables give the mV/A/m figure for each conductor size.
| Circuit type | Typical limit | At 400 V |
|---|---|---|
| Lighting | 3% | 12 V |
| Power circuits | 5% | 20 V |
| Motor starting (transient) | 10–15% | 40–60 V |
A motor delivering fixed mechanical power at reduced voltage draws more current to compensate, running hotter and shortening its insulation life.
Phase relationship
LiveVoltage 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| kW | 20 A | 50 A | 85 A | 125 A | 200 A |
|---|---|---|---|---|---|
| 5 kW | 160 | 64 | 38 | 26 | 16 |
| 15 kW | 481 | 192 | 113 | 77 | 48 |
| 30 kW | 962 | 385 | 226 | 154 | 96 |
| 50 kW | 1,604 | 642 | 377 | 257 | 160 |
| 75 kW | 2,406 | 962 | 566 | 385 | 241 |
| 110 kW | 3,528 | 1,411 | 830 | 565 | 353 |
| 160 kW | 5,132 | 2,053 | 1,208 | 821 | 513 |
Where This Calculation Earns Its Keep
Check a set of readings against each other before trusting them for a design decision.
Work out the intended supply for a machine whose nameplate is missing or illegible.
Confirm that a drive or motor is seeing the voltage the commissioning sheet claims.
- 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
LiveEvery Power Converter in One Place
29 calculators built on the same maths as the tool above. Each one has its own inputs, interactive diagrams and worked examples.
kW to kVA
kVA = kW ÷ PFkVA to MW
MW = kVA × PF ÷ 1,000kVA to MVA
MVA = kVA ÷ 1,000VA to kVA
kVA = VA ÷ 1,000VA to kW
kW = VA × PF ÷ 1,000kVA to Watts
W = kVA × 1,000 × PFkW to Watts
W = kW × 1,000kW to GW
GW = kW ÷ 1,000,000kVA to kW (Single Phase)
kW = kVA × PFkVA to Amps
A = kVA × 1,000 ÷ (V × √3 for 3-phase)kVA to Amps (Three Phase)
A = kVA × 1,000 ÷ (√3 × V)Amps to kW
kW = √3 × V × A × PF ÷ 1,000kW to Volts
V = kW × 1,000 ÷ (√3 × A × PF)kW to kWh
kWh = kW × hourskW to MWh
MWh = kW × hours ÷ 1,000kW to GJ
GJ = kW × hours × 0.0036kW to kJ
kJ = kW × secondskW to Joules
J = kW × 1,000 × secondskW to HP
hp = kW × 1.34102kW to BHP
bhp = kW × 1.34102kW to Nm
N·m = 9549.3 × kW ÷ rpmkW to Torque
T = 9549.3 × kW ÷ rpmkW to RPM
rpm = 9549.3 × kW ÷ N·mkW to CC
cc = (kW ÷ kW per litre) × 1,000kW to BTU/hr
BTU/hr = kW × 3,412.142kW to Ton
TR = kW ÷ 3.51685kW to GPM
GPM = BTU/hr ÷ (500 × ΔT)kW to CFM
CFM = BTU/hr ÷ (1.08 × ΔT)kW to PSI
bar = kW × η × 600 ÷ L/minkW to Volts Questions
Common questions about converting kw to volts.