Introduction to instruments


Derivation of Gauge Factor



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Derivation of Gauge Factor:


The gauge factor is defined as the unit change in resistance per unit change in length. It is denoted as K or S. It is also called sensitivity of the strain gauge.

Derivation: Consider that the resistance wire is under tensile stress and it is deformed by ~I as shown in the Fig.



When uniform stress (J is applied to th.is wire along the length, the resistance R


changes to R + ~R because of change in length and cross-sectional area.








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