Alexander-Sadiku
Fundamentals of Electric Circuits
Chapter 11
AC Power Analysis

AC Power Analysis
Chapter 11
11.1 Instantaneous and Average Power
11.2 Maximum Average Power Transfer
11.3 Effective or RMS Value
11.4 Apparent Power and Power Factor
11.5 Complex Power
11.6 Conservation of AC Power
11.7 Power Factor Correction
11.8 Power Measurement

11.1 Instantaneous and Average Power (1)
The instantaneously power, p(t)

11.1 Instantaneous and Average Power (2)
The average power, P, is the average of the instantaneous power over one period.

11.1 Instantaneous and Average Power (3)
Example 1
Calculate the instantaneous power and average power absorbed by a passive linear network if:

11.1 Instantaneous and Average Power (4)
Example 2
A current                flows through an impedance                       . Find the average power delivered to the impedance.

11.2 Maximum Average Power Transfer (1)

11.2 Maximum Average Power Transfer (2)

11.3 Effective or RMS Value (1)

11.3 Effective or RMS Value (2)

11.4 Apparent Power and Power Factor (1)
Apparent Power, S, is the product of the r.m.s. values of voltage and current.
It is measured in volt-amperes or VA to distinguish it from the average or real power which is measured in watts.
Power factor is the cosine of the phase difference between the voltage and current. It is also the cosine of the angle of the load impedance.

11.4 Apparent Power and Power Factor (2)

11.5 Complex Power (1)

11.5 Complex Power (2)

11.5 Complex Power (3)

11.5 Complex Power (4)

11.6 Conservation of AC Power (1)

11.7 Power Factor Correction (1)

11.7 Power Factor Correction (2)

11.8 Power Measurement (1)