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SECTION 13. CR23X MEASUREMENTS
13-5
For the rising case, V
s
= V
so
-V
e
, whereas for
the decaying transient, V
s
= V
so
+V
e
.
Substituting these relationships for V
s
in
Equations 13.3-1 and 13.3-2, respectively,
yields expressions in V
e
, the input settling error:
V
e
= V
so
e-t/R
o
C
T
, rise
[13.3-6]
V
e
= V
e'o
e-t/R
o
C
T
, decay
[13.3-7]
Where V
e'o
= V
eo
-V
so
, the difference between
the peak transient voltage and the true signal
voltage.
NOTE:
Since the peak transient, V
eo
,
causes significant error only if it is several
times larger than the signal, V
so
, error
calculations made in this section
approximate V
e'o
by V
eo
; i.e., V
eo
= V
eo
-V
so
.
If the input settling time constant,
τ
, is known, a
quick estimation of the settling error as a
percentage of the maximum error (V
so
for
rising, V
e'o
for decaying) is obtained by knowing
how many time constants (t/
τ
) are contained in
the 450 µs CR23X input settling interval (t).
The familiar exponential decay relationship is
given in Table 13.3-1 for reference.
TABLE 13.3-1. Exponential Decay, Percent
of Maximum Error vs. Time in Units of
τ
Time
%
Time
%
Constants
Max. Error Constants
Max. Error
0
100.0
5
0.7
1
36.8
7
0.1
3
5.0
10
0.004
Before proceeding with examples of the effect
of long lead lengths on the measurement, a
discussion on obtaining the source resistance,
R
o
, and lead capacitance, C
w
L, is necessary.
CR23X
FIGURE 13.3-2. Typical Resistive Half Bridge
CR23X
HI OR LO
INPUT
FIGURE 13.3-3. Source Resistance Model for Half Bridge Connected to the CR23X
Summary of Contents for CR23X
Page 8: ...CR23X TABLE OF CONTENTS vi This is a blank page ...
Page 12: ...CR23X MICROLOGGER OVERVIEW OV 2 1 2 3 A 4 5 6 B 7 8 9 C 0 D FIGURE OV1 1 CR23X Micrologger ...
Page 34: ...CR23X MICROLOGGER OVERVIEW OV 24 This is a blank page ...
Page 50: ...SECTION 1 FUNCTIONAL MODES 1 16 This is a blank page ...
Page 72: ...SECTION 4 EXTERNAL STORAGE PERIPHERALS 4 8 This is a blank page ...
Page 88: ...SECTION 6 9 PIN SERIAL INPUT OUTPUT 6 10 This is a blank page ...
Page 110: ...SECTION 7 MEASUREMENT PROGRAMMING EXAMPLES 7 22 This is a blank page ...
Page 134: ...SECTION 8 PROCESSING AND PROGRAM CONTROL EXAMPLES 8 24 This is a blank page ...
Page 164: ...SECTION 9 INPUT OUTPUT INSTRUCTIONS 9 30 This is a blankpage ...
Page 188: ...SECTION 11 OUTPUT PROCESSING INSTRUCTIONS 11 8 This is a blankp age ...
Page 221: ...SECTION 13 CR23X MEASUREMENTS 13 21 FIGURE 13 5 1 Circuits Used with Instructions 4 9 ...
Page 229: ...14 3 1 2 3 A 4 5 6 B 7 8 9 C 0 D FIGURE 14 3 1 CR23X Battery Pack and Panel ...
Page 240: ...SECTION 14 INSTALLATION AND MAINTENANCE 14 14 This is a blank page ...
Page 244: ...APPENDIX A GLOSSARY A 4 This is a blank page ...
Page 268: ...APPENDIX B CONTROL PORT SERIAL I O INSTRUCTION 15 B 24 This is a blank page ...
Page 276: ...APPENDIX C BINARY TELECOMMUNICATIONS C 8 This is a blank page ...
Page 278: ...This is a blank page ...
Page 282: ...APPENDIX F DYNAGAGE SAP FLOW P67 F 4 This is a blank page ...
Page 299: ...APPENDIX I TD OPERATING SYSTEM ADDENDUM FOR CR510 CR10X AND CR23X MANUALS ...
Page 300: ...This is a blank page ...
Page 302: ...This is a blank page ...
Page 308: ...TABLE DATA ADDENDUM AD 6 This is a blank page ...
Page 324: ...TD ADDENDUM SECTION 1 FUNCTIONAL MODES AD 1 8 This is a blank page ...
Page 340: ...TD ADDENDUM SECTION 8 PROCESSING AND PROGRAM CONTROL EXAMPLES AD 8 10 This is a blank page ...
Page 342: ...This is a blank page ...
Page 373: ...This is a blank page ...