Chapter 1 Outline
1-40
RMS (root mean square)
This is the DC voltage consuming the equal power the same as the
consumed power when impressing AC voltage on a resistance.
In Voltage, RMS is DC voltage consuming the equal power when AC
voltage is impressing on a resistance.
R
R
V(t)
V
1
dt
R
tV
T
P
T
0
2
1
)(1
R
V
P
2
1
2
)(
0
V
t
0
V
t
V
1
Figure 1.5-24 AC and DC Voltage Power Consumption
In the circuit in Figure 1.5-24, the voltage V
1
when the power P
1
and P
2
consumed by resistance R is equal is the effective AC voltage V(t). V
1
is
the root mean square found using the following equation.
T
dttV
T
V
0
2
1
)(
1
For a sine wave, the ratio of RMS and p-p is
22
.
Vrms means the effective voltage value.
Jitter rms is expressed as the standard deviation of the jitter time domain
histogram.
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