Engineering

Three-Phase Power Calculator

Real power for a balanced three-phase electrical load.

Enter your values

Enter the line voltage in V.

Enter the line current in A.

Enter the power factor you are working with.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Real power
37.41 kW
Apparent power
41.57 kVA
Reactive power
18.12 kVAR

Quick answer

P = sqrt(3) x V_line x I_line x power factor.

P = sqrt(3) V I pf

At a glance

What it doesReal power for a balanced three-phase electrical load.
CategoryEngineering
Inputs neededLine voltage, Line current, Power factor
Main outputReal power
FormulaP = sqrt(3) V I pf
CostFree — no sign-up, no download

How to use the Three-Phase Power Calculator

  1. 1Enter the line-to-line voltage and line current of the three-phase circuit.
  2. 2Enter the load's power factor (1.0 for purely resistive loads).
  3. 3Read the real, apparent and reactive power.

Inputs explained

Line voltage(V)
Enter the line voltage in V.
Line current(A)
Enter the line current in A.
Power factor
Enter the power factor you are working with.

Worked example

Using the values the calculator loads with:

Inputs

  • Line voltage480 V
  • Line current50 A
  • Power factor0.9

Results

  • Real power37.41 kW
  • Apparent power41.57 kVA
  • Reactive power18.12 kVAR

Frequently asked questions

Why the square root of 3?

It accounts for the 120-degree phase offset between the three phases in a balanced system.

What is reactive power?

Power that oscillates between source and load without doing real work, caused by inductive or capacitive loads.

What do I need to enter into the Three-Phase Power Calculator?

Just 3 values: line voltage, line current, power factor. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Three-Phase Power Calculator work out the answer?

P = sqrt(3) x V_line x I_line x power factor. It applies the formula P = sqrt(3) V I pf and shows the working so you can check each step by hand.

Is the Three-Phase Power Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.