Chapter 1: Analysis of AC circuits
1
Sinusoidal Steady State Analysis
NODAL ANALYSIS
Compute V1 and V2 in the circuit of Fig.
SUPERPOSITION THEOREM
SOURCE TRANSFORMATION
THEVENIN AND NORTON EQUIVALENT CIRCUITS
Average Value
Average value is the constant value of the signal that carries the same area as the original signal.
If a current signal i(t) is defined at a time interval T, then:
T
0
ave dt)t(iT
1I
Example
For the current waveform shown in figure, find the average value.
5.2)202
20(
4
1I
)dt10tdt5(4
1I
ave
2
0
4
2
ave
Example
Find the average value of sine wave in both full cycle and half cycle.
For full cycle the average is zero because the positive area is equal to the negative area.
For half cycle:
m0m
0
mave
V2]cosV[
1
dsinV1
V
RMS Value (Effective value)