The value can found from the following formula
applied the sinusoidal waveform shown Fig.3 V. .
The rms value the square root the mean the individual squared val-
ues and the value a.c. voltage. voltage which produces the same heating
effect d.
.
Such waveform has average value about 207.
V
V V
V
av max
6
1 6
0 637
.
Example
The sinusoidal waveform applied particular circuit has maximum value 325.
90
30
180
150
120 60
V
V
V1
V5
V6
V2
V4
V3
FIGURE 4.
Calculate the average and rms value the waveform. equivalent value almost always give the
rms value without identifying such.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.9
Sinusoidal waveform showing instantaneous values voltage. .
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 0.7071 the maxi-
mum value.
.
.
When say that the main supply domestic property 230V, really mean 230V rms.
For any sinusoidal waveform the rms value equal 0.9. 4.
V
V V
V
rms
max
1
2
2
2
3
2
4
2
5
2
6
2
6
0 7071
.c.9.
⬖
l
lue
V
rms max
rms
V V
V
7071
0 7071 325 230
. 4.2V and maximum value almost
325.3V but because the rms value gives the d.637 the
maximum value.c
