Measurement 
Tutorial 
AC 
VOLTAGE 
AND 
CURRENT 
MEASUREMENT 
does not  include the  dc  component  (if  one  exists).  For 
example,  consider Figure 
4-8, 
which  shows a simple 
ac 
signal riding  on  a  dc  level.  The  VAC  function  would 
measure  the  ac component  only. 
4-20. 
Combined 
AC 
and 
DC 
Measurements 
The 
8840A 
can 
be 
used to evaluate the true rms value of 
waveforms such 
as 
the  one shown in Figure 
4-8, 
which 
includes both  ac and  dc components. First,  measure the 
rrns value of  the ac component using the VAC  function. 
Next,  measure the dc component using the 
VDC 
function. 
Finally,  calculate  the  total  rms  value 
as 
follows: 
4-21. 
Bandwidth 
Bandwidth defines  the  range of  frequencies to  which 
an 
instrument 
can 
respond  accurately.  The  accuracy  of  the 
8840A 
is  specified  for  sinusoidal waveforms  up  to 
100 
kHz, 
or  for nonsinusoidal waveforms with frequency com- 
ponents up to 
100 
kHz.  The small-signal bandwidth (the 
frequency at which the response is 
3 
dB 
down) is typically 
around 
300 
kHz. 
For  signals  with  components greater  than 
100 
kHz, 
the 
measurement  accuracy  is  reduced  because  of  frequency 
bandwidth 
and 
slew-rate  limitations.  Because 
of 
this, 
accuracy may 
be 
reduced when measuring signals with fast 
rise times, such as high-frequency square waves or switch- 
ing supply waveforms. 
As 
a rule of  thumb, an ac voltage 
input signal is within the bandwidth limitations if  the rise 
time is longer  than 
2 
w, 
and within the slew-rate limita- 
tions 
if 
the input  slew  rate  is slower  than (lV/p.)x(full 
scale of  range). 
4-22. 
Zero-Input 
VAC 
Error 
If  the 
8840A 
input  terminals are shorted while  the VAC 
function is selected, the 
8840A 
displays a non-zero reading 
(typically  less  than 
80 
digits in  the  highest  four  ranges, 
and  less  than 
300 
digits  in  the 
200 
mV  range).  Such 
readings 
are 
due  to  random  noise  combined  with  the 
inherent nonlinear  response of  computing-type rms 
con- 
verters  to  very  small  input  signals. 
The zero-input  error is quickly reduced when the input is 
increased.  The  rms  converter  error  (a  dc error) 
and 
the 
internally  generated  noise 
(a 
random  ac  error)  are both 
uncorrelated  with  the  input  signal.  Therefore,  when  a 
signal is applied, the  resulting reading is not  the simple 
addition of  the  signal  and  the zero-input  error,  but  the 
square root  of  the sum  of  their 
squares. 
This reduces the 
effect of  the error, 
as 
shown in the example in Figure 
4-9. 
WAVEFORM 
SQUARE WAVE 
Z 
SINE WAVE 
'L 
TRIANGLE 
SAWTOOTH 
MIXED 
FREQUENCIES 
SCR 
OUTPUT 
. 
OF 
100% 
- 
10% 
%- 
WHITE NOISE 
ACCOUPLED 
PULSE TRAIN 
LT-4 
SPl 
KE 
CREST FACTOR 
Figure 
4-7. 
Typical 
Crest 
Factors 
for 
Various Wave 
forms 
AC 
COMPONENT 
DC COMPONENT 
RMS 
Total 
= 
Figure 
4-8. 
Combined 
AC 
and 
DC 
Measurement 
As 
long 
as 
the 
8840A 
reading 
is 
1,000 
counts or  more, 
readings 
will 
still be  witbin  specified accuracy. 
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