A cantilever beam has a pair of strain gauges mounted on the top and bottom of the beam, so that bending of the beam causes one to increase in resistance and the other to decrease in resistance. In equation form, R1 = 10002(1 + force/1000N), and R2 = 10002(1 – force/1000N). These are wired together as a voltage divider with R2 on top. a) If the bias voltage is 5V, what is the output voltage as a function of load force?

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A cantilever beam has a pair of strain gauges mounted on the top and bottom of the beam, so that
bending of the bcam causes one to increase in resistance and the other to decrease in resistance. In
equation form, R1 = 10002(1 + force/1000N), and R2 = 10002(1 – force/1000N). These are wired
together as a voltage divider with R2 on top.
a) If the bias voltage is 5V, what is the output voltage as a function of load force?
b) Using the Taylor series expansion (as in other homework problems), estimate the size of the quadratic
crror term relative to the lincar term.
Transcribed Image Text:A cantilever beam has a pair of strain gauges mounted on the top and bottom of the beam, so that bending of the bcam causes one to increase in resistance and the other to decrease in resistance. In equation form, R1 = 10002(1 + force/1000N), and R2 = 10002(1 – force/1000N). These are wired together as a voltage divider with R2 on top. a) If the bias voltage is 5V, what is the output voltage as a function of load force? b) Using the Taylor series expansion (as in other homework problems), estimate the size of the quadratic crror term relative to the lincar term.
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