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Keysight E1412A Digital Multimeter User Guide
Keysight E1412A Multimeter Application Information
True RMS AC Measurements
An ac-coupled true
RMS
measurement is desirable in situations where you are
measuring small ac signals in the presence of large dc offsets such as when
measuring ac ripple present on dc power supplies. There are situations, however,
where you might want to know the ac+dc true
RMS
value. You can determine this
value by combining results from dc and ac measurements as shown below. You
should perform the dc measurement using at least 10 power line cycles of
integration (6 digit mode) for best ac rejection
Crest Factor Errors (non-sinusoidal inputs)
A common misconception is “if an ac multimeter is a true
RMS
instrument, the
multimeter's sine wave accuracy specifications apply to all waveforms.” Actually,
the shape of the input signal can dramatically affect measurement accuracy. A
common way to describe signal wave shapes is
crest factor
. Crest factor of a
waveform is the ratio of its peak value to its
RMS
value.
Common Crest Factors
The crest factor for a sine wave is
=1.414. For a triangular wave the crest
factor is
= 1.732. For a square wave with pulse width t and duty cycle T, (see
the graphic in the previous section), the crest factor is
.
For a pulse train, the crest factor is approximately equal to the square root of the
inverse of the duty cycle. In general, the greater the crest factor, the greater the
energy contained in higher frequency harmonics. All multimeters exhibit
measurement errors that are crest factor dependent. E1412A crest factor errors
are shown in the AC Characteristics Accuracy Specifications listed in Appendix A
with the exception that crest factor errors are not specified for non sine wave
input signals below 100Hz when using the slow ac filter (3Hz filter).
You can estimate the measurement error for a non-sinusoidal input signal shown
below:
Total Error = Error (sine) + Error (crest factor) + Error (bandwidth)
Error (sine)
: error for sine wave as shown in Appendix A, Specifications.
Error (crest factor)
: crest factor additional error as shown in Appendix A.
Error (bandwidth)
: estimated bandwidth error as shown below.
C.F.
= signal's crest factor
f
= signal's fundamental frequency
BW
= multimeter's -3dB bandwidth
(1MHz for the E1412A)
RMS
ac
dc
+
ac
2
dc
2
+
=
2
3
T
t
---
ERROR(bandwidth)
-(C.F.)
2
f
4
BW
--------------------------
100%
=
Содержание E1412A
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