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Document Type: Prentice Hall
Author: Robert A. Witte
Book: Electronic Test Instruments
Copyright: 1993
ISBN: 0-13-253147-x
NI Supported: No
Publish Date: Sep 6, 2006


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Table of Percentage Error and Decibel Relationships

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Table of Percentage Error and Decibel Relationships (for Voltage and Current)

Error
(± percent)
Error (dB)Error (dB, relative to ideal value)
0.01%+0.00087-0.00087-80.00
0.02+0.00174-0.00174-73.98
0.03+0.00261-0.00261-70.46
0.04+0.00347-0.00348-67.96
0.05+0.00434-0.00434-66.02
0.06+0.00521-0.00521-64.44
0.07+0.00608-0.00608-63.10
0.08+0.00695-0.00695-61.94
0.09+0.00781-0.00782-60.92
0.10+0.00868-0.00869-60.00
0.20+0.0174-0.0174-53.98
0.30+0.0260-0.0261-50.46
0.40+0.0347-0.0348-47.96
0.50+0.0433-0.0435-46.02
0.60+0.0520-0.0523-44.44
0.70+0.0606-0.0610-43.10
0.80+0.0692-0.0698-41.94
0.90+0.0778-0.0785-40.92
1.00+0.0864-0.0873-40.00
2.00+0.172-0.175-33.98
3.00+0.257-0.265-30.46
4.00+0.341-0.355-27.96
5.00+0.424-0.446-26.02
6.00+0.506-0.537-24.44
7.00+0.588-0.630-23.10
8.00+0.668-0.724-21.94
9.00+0.749-0.819-20.92
Appendix B
10.00+0.828-0.915-20.00
15.00+1.214-1.412-16.48
20.00+1.584-1.938-13.98
25.00+1.938-2.499-12.04
30.00+2.279-3.098-10.46
35.00+2.607-3.742-9.12
40.00+2.923-4.437-7.96
45.00+3.227-5.193-6.94
50.00+3.522-6.021-6.02


This table is valid for both voltage and current values. For power calculations, the dB values must be multiplied by 1/2.

If a particular instrument reading is thought of as consisting of two parts, the ideal value and the error in the reading, then
reading = ideal value + error

The error (%) value is the error expressed as a percentage of the ideal value
The error (dB) value is the amount by which the reading differs from the ideal value, expressed in dB.
The error (dB, relative to ideal value) expresses the error in dB, relative to the ideal value.
Example:
A reading with a 1 percent error will be off by +0.0864 dB or -0.0873 dB, depending on the direction of the error. The error is —40 dB relative to the ideal value.

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