Question 15.5: A certain material being measured under stress undergoes a s...

A certain material being measured under stress undergoes a strain of 5 parts per million (5  μ\epsilon). The strain gage has a nominal (unstrained) resistance of 320 Ω and a gage factor of 2.0. Determine the resistance change in the strain gage.

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G F=\frac{\Delta R / R}{\Delta L / L}=\frac{\Delta R / R}{\epsilon}

\\ \Delta R=(G F)(R)(\epsilon)=2.0(320  \Omega)\left(5 \times 10^{-6}\right)=3.2 \mathrm{~m} \Omega

P R A C T I C E EXERCISE

If the strain in this example is 8  μ\epsilon, how much does the resistance change?

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