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 X;. Show that the relative measurement error due to the resistance Rm of the measuring instrument is given by: R¡(R – R¡) R¡R¿ + RmRt – R? Relative error = R, E Ri Xi Rm

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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 X;. Show that the relative
measurement error due to the resistance Rm of the measuring instrument is given by:
R¡(R – R¡)
R¡R¿ + RmRt – R?
Relative error =
R,
E
Ri
Xi
Rm
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 X;. Show that the relative measurement error due to the resistance Rm of the measuring instrument is given by: R¡(R – R¡) R¡R¿ + RmRt – R? Relative error = R, E Ri Xi Rm
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