The output of a potentiometer is measured by a voltmeter having a resistance Rm, as shown in the following figure. R. is the resistance of the total length X, of the potentiometer and R; is the resistance between the wiper and common point C for a general wiper position X1. Show that the relative measurement error due to the resistance Rm of the measuring instrument is given by: R,(R; – R) RR; + R„R¢ – R? Relative error E R Rm
The output of a potentiometer is measured by a voltmeter having a resistance Rm, as shown in the following figure. R. is the resistance of the total length X, of the potentiometer and R; is the resistance between the wiper and common point C for a general wiper position X1. Show that the relative measurement error due to the resistance Rm of the measuring instrument is given by: R,(R; – R) RR; + R„R¢ – R? Relative error E R Rm
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Transcribed Image Text:The output of a potentiometer is measured by a voltmeter having a resistance Rm, as shown in the
following figure. R; is the resistance of the total length X; of the potentiometer and R is the resistance
between the wiper and common point c for a general wiper position X1. Show that the relative
measurement error due to the resistance Rm of the measuring instrument is given by:
R(R – R)
R;R¢ + R„R¢ – R?
Relative error =
R
E
R
X;
Rm
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