For a strain gauge with a gauge factor of 2 and an unstrained resistance of 120 Ω, if itexperiences a strain of 1 𝜇𝜀, determine the change in gauge resistance?
Question
For a strain gauge with a gauge factor of 2 and an unstrained resistance of 120 Ω, if itexperiences a strain of 1 𝜇𝜀, determine the change in gauge resistance?
Solution
The change in resistance of a strain gauge can be calculated using the formula:
ΔR = GF * R * ε
where: ΔR is the change in resistance, GF is the gauge factor, R is the unstrained resistance, and ε is the strain.
Given: GF = 2, R = 120 Ω, and ε = 1 με = 1 x 10^-6 (since 1 με = 1 x 10^-6).
Substituting these values into the formula, we get:
ΔR = 2 * 120 Ω * 1 x 10^-6 = 2.4 x 10^-4 Ω
So, the change in gauge resistance is 2.4 x 10^-4 Ω.
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