AC Power Analysis

Oh boi this is difficult RMS

Maximum Average Power Transfer

The maximum average power absorbed by the load occurs when

Active (Real) Power

The active/real power is constant and represents the portion of the power that is transformed from electric energy to non-electric energy (ex: heat).

is known as the Power Factor

Reactive Power

The reactive power of is also constant and represents the portion of the power that is NOT transformed into non-electric energy, but rather it is exchanged between circuit elements such as capacitors, inductors, and sources.

Remember that the is written in terms of voltage. We know how Capacitors and Inductors behave (90 degrees between current and voltage), so you can make these final assumptions

Instantaneous Power

Average Power

It’s just the integral of the instantenous power divided by the time period.

Apparently, when solving circuits, the average power is the the real power .

Maximum Average Power Transfer

THe results found for DC Circuits for Maximum Power Transfer are extended.

Complex Power

The complex power for a general element is defined by

Complex power is the combination of Active Power and Reactive Power :

Apparent Power

Apparent power is just the norm of the Complex power.


title: Some Conventions for the Units of Power
In the exam, if you see different units, this is how to tell apart different powers. 
| Type of Power | Unit | 
| :---: | :---: |
| Active Power $P$ | Watt (W) | 
| Reactive Power $Q$ | Volt-Ampere-Reactive (VAR) | 
| Complex Power $S$| Volt-Ampere (VA) | 
|Apparent Power $P_{app} = \vert S\vert$ | Volt-Ampere (VA) |