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Power Factor Calculator

Known values
Power factor —
Power factor as a percentage
—
Rating
—
Phase angle φ (degrees)
—
Reactive power Q (kVAR)
—
Apparent power S (kVA)
—
Power factor against common rating bands
The chart appears with your result

Power factor is real power divided by apparent power: PF = P ÷ S. A load drawing 3 kW of real power and 5 kVA of apparent power has a power factor of 0.60, a phase angle of 53.13° and 4 kVAR of reactive power. From a meter reading, S is volts times amps, multiplied by √3 on three-phase supplies.

About this tool

Electricians, plant engineers and students sizing cables or checking a utility bill often need the power factor of a load. Enter real power and apparent power directly, or enter the wattmeter reading with the supply voltage and current, choosing single- or three-phase. The calculator returns the power factor, the same value as a percentage, a rating band, the phase angle, the reactive power in kVAR and the apparent power, plus the working and a scale showing where the result sits. It assumes sinusoidal voltage and current, so on loads with heavy harmonic distortion, such as cheap switch-mode supplies, the figure is the true power factor only if your real power reading comes from a true-RMS wattmeter.

How to use it

  1. Pick what you know

    Choose kW and kVA if you have both powers, or watts, volts and amps if you have meter readings.

  2. Set the supply

    For volts and amps, choose single-phase or three-phase; three-phase uses line-to-line voltage.

  3. Enter the values

    Type the real power and the other quantities; the result updates as you type.

  4. Read the triangle

    Check the phase angle and kVAR to see how much reactive power the load circulates.

Examples

3 kW drawn as 5 kVA

Known values
kW and kVA
Real power (P)
3
Apparent power (S)
5

Result Power factor: 0.600
Power factor as a percentage: 60%
Rating: Poor (below 0.80)
Phase angle φ (degrees): 53.13
Reactive power Q (kVAR): 4
Apparent power S (kVA): 5

  1. PF = P ÷ S = 3 kW ÷ 5 kVA = 0.6
  2. Q = √(S² − P²) = 4 kVAR
  3. φ = arccos(0.6) = 53.13°

A motor load reading 3 kW on the wattmeter but 5 kVA of apparent power runs at a power factor of 0.6, with 4 kVAR circulating as reactive power.

230 V, 5 A, 1035 W

Known values
Watts, volts, amps
Supply
Single-phase
Real power (P)
1035
Voltage
230
Current
5

Result Power factor: 0.900
Power factor as a percentage: 90%
Rating: Good (0.90 to 0.95)
Phase angle φ (degrees): 25.84
Reactive power Q (kVAR): 0.501
Apparent power S (kVA): 1.15

  1. S = 230 V × 5 A = 1150 VA
  2. PF = P ÷ S = 1.035 kW ÷ 1.15 kVA = 0.9
  3. Q = √(S² − P²) = 0.501 kVAR
  4. φ = arccos(0.9) = 25.84°

A single-phase appliance drawing 5 A at 230 V while a power meter reads 1035 W has a power factor of 0.90.

Three-phase, 400 V, 10 A, 5.54 kW

Known values
Watts, volts, amps
Supply
Three-phase
Real power (P)
5540
Voltage
400
Current
10

Result Power factor: 0.800
Power factor as a percentage: 80%
Rating: Poor (below 0.80)
Phase angle φ (degrees): 36.91
Reactive power Q (kVAR): 4.16
Apparent power S (kVA): 6.928

  1. S = √3 × 400 V × 10 A = 6928.2 VA
  2. PF = P ÷ S = 5.54 kW ÷ 6.9282 kVA = 0.8
  3. Q = √(S² − P²) = 4.16 kVAR
  4. φ = arccos(0.8) = 36.91°

On a 400 V three-phase supply, 10 A per line and 5.54 kW of real power work out to a power factor of about 0.80.

How it is calculated

PF = P ÷ S; S = V × I (single-phase) or √3 × V × I (three-phase); Q = √(S² − P²); φ = arccos(PF)

P
Real power in kW, the power that does work
S
Apparent power in kVA
Q
Reactive power in kVAR
V, I
RMS voltage (line-to-line on three-phase) and line current
φ
Phase angle between voltage and current

Real, reactive and apparent power form a right triangle, with S as the hypotenuse. Power factor is the cosine of the angle between S and P. Real power cannot exceed apparent power, so the tool rejects inputs where P is larger than S. The rating bands are rules of thumb used in industry; many tariffs penalise values under about 0.90.

When not to use it

  • Do not use it to tell leading from lagging power factor; the sign needs a phase measurement.
  • Do not use it for unbalanced three-phase loads; work each phase separately instead.
  • Do not use it for DC circuits, where power factor is always 1.

Common mistakes

  • Using phase-to-neutral voltage in the three-phase formula instead of line-to-line voltage.
  • Entering the nameplate kW of a motor rather than the measured input power.
  • Mixing watts with kVA, which makes the ratio a thousand times off.

Frequently asked questions

What is a good power factor?

Most industrial tariffs treat 0.95 or above as excellent and expect at least 0.90. Below 0.80 the extra current heats cables and transformers noticeably, and utilities often add a reactive-power charge.

Why can real power never exceed apparent power?

Apparent power is the hypotenuse of the power triangle, so it is always at least as large as real power. If your readings show otherwise, one meter is wrong or the values are in different units.

How is three-phase apparent power calculated?

For a balanced three-phase load, S = √3 × line-to-line voltage × line current. At 400 V and 10 A that is 6,928 VA, or about 6.93 kVA.

What does the phase angle tell me?

It is the angle by which current lags or leads voltage. A power factor of 0.9 corresponds to about 25.8°, and 0.6 to about 53.1°. Zero degrees means a purely resistive load.

How do capacitors improve power factor?

Inductive loads such as motors draw lagging reactive power. Capacitors supply leading reactive power locally, which cancels part of Q, shrinks S and raises P ÷ S without changing the real work done.

Does power factor matter for home electricity bills?

Residential meters usually bill only kWh of real energy, so a low power factor rarely appears on a household bill. It matters more for commercial and industrial customers whose tariffs include kVA or kVARh charges.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 12). Power Factor Calculator. Tools Directory. Retrieved October 25, 2026, from https://tools.milunir.com/electronics-physics/power-and-energy/power-factor-calculator/

MLA

Tools Directory Editorial Team. “Power Factor Calculator.” Tools Directory, 12 Oct. 2026, https://tools.milunir.com/electronics-physics/power-and-energy/power-factor-calculator/. Accessed 25 Oct. 2026.

Chicago

Tools Directory Editorial Team. “Power Factor Calculator.” Tools Directory. Last modified October 12, 2026. Accessed October 25, 2026. https://tools.milunir.com/electronics-physics/power-and-energy/power-factor-calculator/.

Link<a href="https://tools.milunir.com/electronics-physics/power-and-energy/power-factor-calculator/">Power Factor Calculator – Tools Directory</a>