\[P=V_{RMS}I_{RMS}\cos(\phi)\]
Variables
Paverage AC power (W)
VrmsRMS voltage (V)
IrmsRMS current (A)
phiphase angle (rad)
Description
What is this formula?
This formula calculates the average power delivered in an AC circuit considering the phase difference between voltage and current.
When to use it
Use it when analyzing real power consumption in alternating current systems containing resistive and reactive components.
Example
Data:
Vrms = 120 V
Irms = 10 A
phi = 0.524 rad
Formula:
P = Vrms*Irms*cos(phi)
Substitution:
P = 120*10*cos(0.524)
Result:
P = 1039 W
Applications
Power systems, electrical engineering, AC circuit analysis, industrial loads, power factor correction, and energy calculations.