About this converter
Power factor is the ratio of real power to apparent power in an AC circuit. A decimal power factor of 0.85 equals 85 percent, and the phase angle is found with theta = arccos(PF), so 0.85 PF equals about 31.7883 degrees.
This converter supports decimal PF, PF percent, and phase angle in degrees. Electrical engineers, facilities technicians, motor-control specialists, power-system students, and energy auditors use these conversions for AC loads, correction capacitor checks, utility billing analysis, and equipment comparisons.
How to Use This Converter
- Enter the power factor, percent, or phase angle value.
- Select the source format from the From menu.
- Select the target format from the To menu.
- Read the converted result and the summary values.
- Use Swap to reverse the selected formats.
Units Covered
| Unit | Symbol | Common Use |
|---|---|---|
| Power factor | PF | Decimal AC circuit efficiency ratio from 0 to 1. |
| Power factor percent | % | Utility reports, correction targets, and equipment summaries. |
| Phase angle | deg | AC circuit analysis and trigonometric power calculations. |
Power Factor to Phase Angle Conversion Table
| From | To |
|---|---|
| 1.00 PF | 0 deg |
| 0.95 PF | 18.1949 deg |
| 0.90 PF | 25.8419 deg |
| 0.85 PF | 31.7883 deg |
| 0.80 PF | 36.8699 deg |
| 0.75 PF | 41.4096 deg |
| 0.70 PF | 45.5729 deg |
| 0.60 PF | 53.1301 deg |
| 0.50 PF | 60 deg |
| 0.25 PF | 75.5225 deg |
How to Convert Power Factor to Phase Angle
Power factor to phase angle
For example, arccos(0.85) = 31.7883 degrees.
Phase angle to power factor
For example, cos(36.8699 degrees) = 0.8 PF.
When You Need to Convert Power Factor
Motor and transformer loads often list phase angle or percent PF, while billing and correction studies use decimal PF. A 90 percent power factor equals 0.9 PF and about 25.8419 degrees.
Power factor correction work compares real power with apparent power. At 0.8 PF, a load needs 1.25 times the apparent power for the same real power, which affects conductor and transformer sizing.
Students and technicians use the angle relationship when solving AC power triangles. If a circuit has a 45.5729 degree phase angle, its power factor is about 0.7.