4.3 V.
. voltage which produces the same heating
effect d. voltage.
Average value
V
rms va
av max
av
V V
V
637
0 637 325 207 2
.
.
90
30
180
150
120 60
V
V
V1
V5
V6
V2
V4
V3
FIGURE 4.
.3V but because the rms value gives the d.
V
V V
V
av max
6
1 6
0 637
.
For any sinusoidal waveform the rms value equal 0.
For any sinusoidal waveform the average value equal 0.7071 the maxi-
mum value.
V
V V
V
rms
max
1
2
2
2
3
2
4
2
5
2
6
2
6
0 7071
.
When say that the main supply domestic property 230V, really mean 230V rms. 4.9.c.
Calculate the average and rms value the waveform.c.9
Sinusoidal waveform showing instantaneous values voltage.
Example
The sinusoidal waveform applied particular circuit has maximum value 325. . equivalent value almost always give the
rms value without identifying such.
Such waveform has average value about 207.2V and maximum value almost
325.
⬖
l
lue
V
rms max
rms
V V
V
7071
0 7071 325 230
.
The rms value the square root the mean the individual squared val-
ues and the value a.637 the
maximum value.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. . The value can found from the following formula
applied the sinusoidal waveform shown Fig.c.9
