Power in AC Circuits

📊 intermediate

$$P = V_{rms} I_{rms} \cos \phi$$

Real power consumed in an AC circuit with a phase difference.

Variables & Units

$\cos \phi$

Power factor

Unit: Dimensionless

$V_{rms}$

Root Mean Square Voltage

Unit: Volt ($V$)

Key Information

📐 Derived From

Average of instantaneous power over a cycle.

💡 Example

Power usage of an electric motor with inductive load.

🔧 Applications

Power grid management and efficiency tuning.

⚠️ Constraints

Sinusoidal waveforms.

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