HomeCalculatorsElectricalPower & EnergykW to VA Calculator
Electrical calculator

kW to VA Calculator

Convert kilowatts to volt-amperes using power factor. Distinguishes real vs apparent power for feeder and transformer sizing. Runs locally in your browser.

Instant result
Result
—

Enter values to calculate.

Inputs—
Mode—
Formula—
Trust summary CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
—
Assurance
Engineering
Declared partition coverage
PASS · 3/3 declared partitions (kw-va, va-kw, invalid-domain) · Matrix
Known limitations
  • Sinusoidal PF; built-in ×/÷1000
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
Apparent power in VA from kW and PF, or real power in kW from VA and PF.
Scope
PF relates real and apparent power for the AC load
Verification
Engine tested · Source checked · v1.3.1 · CVP VERIFIED · production STALE · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.3.1 · CVP protocol 1.0.0-proposed · Evidence 2026-09-19.review-policy-l2
Verification revision
2026-09-19.review-policy-l2 · 3/3 property · digest f34e338c9eda
Legacy regression
14/14 tests · Production surface contract 2/2
Trust layers
Verification VERIFIED · Production STALE · overall VERIFIED_STALE
CVP status
STALE · STALE · Last attested schema matched 1.3.1 snapshot / local build · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · Public/cache ✓ · Origin ✓
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass · electrical-engineer
Named expert review
Not performed
CVP suite
2/2 golden · 3/3 CVP boundary · 4/4 invalid · 3/3 property · 1/1 cross-interface · 2/2 CVP contract · Manifest
Sources
Sources
Evidence
7 legacy golden · 4 legacy boundary · legacy regression suite · 2/2 oracle-backed golden · 4/4 invalid · Artifact integrity PASS · CalculatorX electrical review
STALE · Last attested schema matched 1.3.1 snapshot / local build · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · CVP STALE · attestation STALE — Production CURRENT withheld · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

kW → VAVA = 1000 × kW ÷ PF
VA → kWkW = VA × PF ÷ 1000
Power factorPF = (kW × 1000) ÷ VA
iPF is typically 0.8–1.0 for many AC loads. 1 kW = 1000 W. Equivalent: VA = W ÷ PF after converting kW to watts. For results in kVA, divide VA by 1000 or use kVA to kW / watts to kVA.

How to use

1

Choose kW → VA or VA → kW

Forward needs real power; reverse needs apparent power in VA.

2

Enter power and power factor

PF must be greater than 0. Prefer nameplate or measured values.

3

Read VA or kW

Result updates as you type. For kVA output, divide VA by 1000.

Example calculations

Common configurations with formula and result.

ϟ

5 kW · PF 0.8

Common worked example

1000 × 5 ÷ 0.8
6,250 VA
ϟ

1 kW · PF 0.8

Common quick check

1000 × 1 ÷ 0.8
1,250 VA
ϟ

10 kW · PF 0.8

Larger load

1000 × 10 ÷ 0.8
12,500 VA
ϟ

Unity PF

1 kW · PF 1.0

1000 × 1 ÷ 1
1,000 VA
ϟ

VA → kW

6,250 VA · PF 0.8

6250 × 0.8 ÷ 1000
5 kW

kW to VA at PF = 0.8

Common values at a glance.

Real power (kW)Apparent power (VA)kVA
11,2501.25
56,2506.25
7.59,3759.375
1012,50012.5
1518,75018.75
2025,00025
2531,25031.25
5062,50062.5
7593,75093.75
100125,000125
i VA = 1000 × kW ÷ 0.8. At PF = 1, VA = 1000 × kW (1 kW = 1,000 VA).

kW to VA calculator specification

Version 1.3.1 · Engine tested · Supplemental domain review · Internal · 2026-08-08

Calculation status

Review policy · Evidence · Reviewed by CalculatorX electrical review (electrical-engineer)

Definition
Kilowatts (kW) measure real power; volt-amperes (VA) measure apparent power. Converting between them requires power factor: VA = 1000 × kW ÷ PF. At PF = 1, 1 kW = 1000 VA. This tool also reverses the conversion (VA → kW).
What it calculates
Apparent power in VA from kW and PF, or real power in kW from VA and PF.
Inputs
  • Real power P (kW) or apparent power S (VA)
  • Power factor PF (0–1)
Outputs
  • Apparent power in VA
  • Real power in kW
Formula
S(VA)=1000·P(kW)/PF; P=S·PF/1000
Assumptions
  • PF relates real and apparent power for the AC load
  • 1 kW = 1000 W
Units
  • kW, PF → VA
Boundary conditions
  • power_factor must be in (0, 1] — PF≤0 → FRACTION_OUT_OF_RANGE (engine kw-va)
  • Missing PF → MISSING_REQUIRED_INPUT
  • Built-in ×1000 between kW and VA
Example
5 kW, PF 0.8 → 6,250 VA
Validation cases

13 published on this page · 14/14 tests · Production surface contract 2/2 · View evidence

  • 5 kW, PF 0.8 → 6250 VA
  • 1 kW, PF 0.8 → 1250 VA
  • 10 kW, PF 0.8 → 12500 VA
  • 1 kW, PF 1 → 1000 VA
  • 10 kW, PF 0.8 (2× of 5 kW) → 12500 VA (linear in kW)
  • 5 kW, PF 0.4 (half PF) → 12500 VA (inverse in PF)
  • 6250 VA, PF 0.8 → kW → 5 kW
  • 5 kW, PF 0 → VA → 0 VA (soft: PF=0 on quotient → 0)
  • 0 kW, PF 0.8 → 0 VA
  • 2 kW, PF 0.5 → 4000 VA
  • 0 VA, PF 0.8 → kW → 0 kW
  • 6250 VA, PF 0 → kW → 0 kW
  • 5 kW → VA → kW round-trip at PF 0.8 → 5 kW
Sources
Last reviewed
2026-08-08
Reviewed by
CalculatorX electrical review (electrical-engineer)
Calculation version
1.3.1

Background

Interpretation and common distinctions.

Convert kilowatts (kW) to volt-amps (VA) using power factor:

S((VA)) = (1000 × P((kW)))/PF

Default example: 5 kW at PF 0.8 → 6,250 VA.

kW vs VA

Quantity Unit Meaning
Real power kW Power that does work or becomes heat (1 kW = 1000 W)
Apparent power VA Voltage × current at the supply, before applying PF
Power factor PF PF = (kW × 1000) / VA, typically 0–1

Apparent power is what sizing of transformers, UPS, and wiring often follows; real power is what does useful work. Reactive elements make them differ unless PF ≈ 1.

Common values at PF 0.8

kW VA
1 1,250
5 6,250
10 12,500
100 125,000

Typical power factors

Load Typical PF
Resistive heater / incandescent ≈ 1.0
Many motors / genset ratings 0.8–0.9
Lightly loaded induction motor can be much lower

Prefer nameplate or measured PF when sizing equipment.

Other calculators in this family: Amps to kW Calculator, Amps to VA Calculator, Amps to Volts Calculator, Electric Power Calculator, Energy Consumption Calculator, Energy Cost Calculator, eV to Volts Calculator, kVA to Amps Calculator . Explore all Power & Energy.

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Frequently asked questions

Key distinctions behind the calculation.

How do I convert kW to VA?

Use VA = (kW × 1000) ÷ PF. Example: 5 kW at PF 0.8 → 1000 × 5 ÷ 0.8 = 6,250 VA.

Why is power factor required?

kW is real power; VA is apparent power. They differ when the load is inductive or capacitive. PF = real ÷ apparent bridges the two.

What if PF = 1?

Then VA = 1000 × kW. One kilowatt equals 1,000 volt-amps at unity power factor.

How is this different from kW to kVA?

Same idea, different scale: kVA = kW ÷ PF, while VA = 1000 × kW ÷ PF. 1 kVA = 1000 VA. Use kVA to kW when you prefer kilovolt-amp results.

What PF should I enter?

Use the equipment nameplate or a measured value when possible. Many motors and gensets are around 0.8–0.9; resistive heaters are near 1.0.

How do I convert VA back to kW?

kW = VA × PF ÷ 1000. Example: 6,250 VA × 0.8 ÷ 1000 = 5 kW.

Do I need voltage or phase?

Not for this conversion. Voltage and phase are needed when you start from amps instead of kW or VA.