How do you calculate the power factor in a three-phase circuit?

Here's the formula to calculate the power factor:

Power Factor (PF) = Active Power (P) / Apparent Power (S)

Where:

Active Power (P) is the real power consumed by the circuit, measured in watts (W).

Apparent Power (S) is the total power supplied to the circuit, measured in volt-amperes (VA).

Keep in mind that in a three-phase circuit, the values of active power and apparent power are typically given as line-to-line values. Also, it's important to note that the power factor can be a decimal or a percentage.

To calculate the power factor, you need to measure or obtain the active power and apparent power values from the three-phase circuit. These measurements can be done using power analyzers or by using measurements from instruments like wattmeters and voltmeters/ammeters in the circuit.

Once you have the active power and apparent power values, simply divide the active power by the apparent power using the formula above to get the power factor. A power factor close to 1 indicates a more efficient use of power, while a power factor closer to 0.5 or below suggests a less efficient use of power with increased reactive power consumption.