Chapter 1: Analysis of AC circuits

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Sinusoidal Steady State Analysis

NODAL ANALYSIS

Compute V1 and V2 in the circuit of Fig.

MESH ANALYSIS

SUPERPOSITION THEOREM

SOURCE TRANSFORMATION

THEVENIN AND NORTON EQUIVALENT CIRCUITS

Average and RMS

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)

Example

Example

Good Luck

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