Page 887 - Basic Electrical Engineering
P. 887

Solution:


               Output resistance of the potentiometer under set condition







               Resistance of the potentiometer per unit length








               Change in resistance due to displacement










               Displacement of the object





                                            12.8 STRAIN GAUGE TRANSDUCER

               We have known that the resistance of a metallic wire is dependent upon its

               length and cross-sectional area. If a long resistance wire is stressed and
               strained, i.e., its dimensions are changed, its resistance value will change. A
               strain gauge converts strain into change in resistance of the wire under strain.

                  The basic principle of a strain gauge is that when a resistance wire is
               stressed within its elastic limit, its dimensions change, and hence its

               resistance change. This change in resistance can be used as a measure of the
               stress and strain of the object on which the strain gauge is attached or
               embedded. In civil engineering and mechanical engineering, field strain

               gauges are used extensively to measure stress on structures.
                  A strain gauge transducer is made of thin wires of diameter varying from

               0.02 to 0.04 mm cemented (permanently fixed) in a zig-zag pattern on a thin
               flat paper. The zig-zag pattern of winding reduces the inductance and
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