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Physics & engineering

AC real, reactive and apparent power

AC real, reactive and apparent power: Apparent power is RMS voltage × RMS current, multiplied by √3 for balanced three phase with line-to-line voltage.

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How it works

Apparent power is RMS voltage × RMS current, multiplied by √3 for balanced three phase with line-to-line voltage. Real power = apparent power × power factor.

Input definitions

System
Choose Single phase / Balanced three phase.
RMS voltage (V; line-to-line for three phase)
Enter the value in the labeled unit.
RMS current (A)
Enter the value in the labeled unit.
Power factor
Enter the value in the labeled unit.

A worked example

System
Single phase
RMS voltage (V; line-to-line for three phase)
230
RMS current (A)
10
Power factor
0.8
1840

Assumptions & limits

Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-17. Content checked against the stated method and examples. Our verification approach.

Common questions

Which voltage is used for balanced three phase?

Enter RMS line-to-line voltage and RMS line current. Harmonics, imbalance and signed leading versus lagging reactive power need a more complete model.

How does AC real, reactive and apparent power work?

Apparent power is RMS voltage × RMS current, multiplied by √3 for balanced three phase with line-to-line voltage. Real power = apparent power × power factor.

What are the limits of AC real, reactive and apparent power?

Use consistent stated units. Ideal geometric or physical model; verify dimensions and applicability before real-world design.

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