Question
Download Solution PDFCompute the gauge factor if change is resistance is 0.2Ω per Ohm and change in length is 0.6 per meter.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Gauge Factor is defined as the ratio of per unit change in resistance to the per unit change in length. This can be mathematically written as,
Gf = (ΔR / R) / (ΔL / L)
Where
ΔR / R = Per unit change in resistance
ΔL / L = Per unit change in length
Gf = Gauge Factor
As the strain of an elastic material is defined as the per unit change in length, therefore
Strain, ε = Change in Length / Original Length
ε = ΔL / L
Calculation:
Given;
(ΔR / R) → Change is resistance is 0.2Ω per Ohm
(ΔL / L) → Change in length is 0.6 per meter
ε= ΔL / L = 0.6
∴ Gauge Factor, Gf = (ΔR / R) / (ΔL / L) = 0.2/0.6 = 0.33
Additional Information
- A strain Gauge is basically a sensor used for the measurement of various physical parameters like stress, strain, etc.
- The working principle of the strain gauge is based on the Piezoresistive Effect. This is why it is also often called Pizoresistive Gauge.
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