Calculate the average and rms value the waveform.
Such waveform has average value about 207.7071 the maxi-
mum value.3 V.c.
Average value
V
rms va
av max
av
V V
V
637
0 637 325 207 2
.
.
For any sinusoidal waveform the average value equal 0. voltage which produces the same heating
effect d.Basic electrotechnical units and theory
95
The average value the average over one half-cycle the instantaneous
values they change from zero maximum and can found from the
following formula applied the sinusoidal waveform shown Fig.c.
.9.
For any sinusoidal waveform the rms value equal 0.
. The value can found from the following formula
applied the sinusoidal waveform shown Fig.
⬖
l
lue
V
rms max
rms
V V
V
7071
0 7071 325 230
.
When say that the main supply domestic property 230V, really mean 230V rms.
The rms value the square root the mean the individual squared val-
ues and the value a. 4.
Example
The sinusoidal waveform applied particular circuit has maximum value 325. .c.9
Sinusoidal waveform showing instantaneous values voltage.
V
V V
V
rms
max
1
2
2
2
3
2
4
2
5
2
6
2
6
0 7071
.637 the
maximum value. .3V but because the rms value gives the d.2V and maximum value almost
325. voltage. 4.
V
V V
V
av max
6
1 6
0 637
.
90
30
180
150
120 60
V
V
V1
V5
V6
V2
V4
V3
FIGURE 4.9. equivalent value almost always give the
rms value without identifying such
