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Single-Phase RMS Voltage, Current & Real Power
Calculate real electrical power using RMS voltage, RMS current and a supplied power factor.
- Formula & worked example
- Private in your browser
- No signup
Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
Private by default
Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.
Formula and method
At 120 V RMS, 2 A RMS and power factor 0.8, real power is 192 W. The apparent-power product is 240 VA.
Real power = RMS voltage × RMS current × power factor
Worked example
Enter these known values and leave the other values blank.
- RMS voltage, or steady DC voltage
- 120 V
- RMS current, or steady DC current
- 2 A
- Power factor from 0 to 1
- 0.8
- Real power consumed
- 192 W
Assumptions and limitations
- This is a single-phase load model with nonnegative voltage, current and consumed real power. Power factor lies between 0 and 1.
- Use RMS values and the applicable true power factor for AC. For a steady DC load use power factor 1; peak AC voltage is not interchangeable with RMS voltage.
- For sinusoidal voltage and current, power factor can be written cos φ. With distortion, phase angle alone may not determine true power factor.
- No three-phase line/phase conversion is performed. Zero factors can make an inverse calculation non-unique.
Common questions
Are watts and volt-amperes always numerically equal?
They are equal when power factor is 1. For smaller power factor, real power in watts is smaller than apparent power in VA.
Does this calculate a three-phase system?
No. Three-phase power requires the appropriate line or phase relationships and balance assumptions.
References
- OpenStax: ideal AC circuit relationships
- NIST: electrical and energy units
- NIST: electrical and energy units
- Calculation definition and unit reference
The power unit uses the International Table BTU per hour consistently with the reviewed energy convention.
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