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Let us consider the Wheatstone bridge shown below. R1 is a 120 Ohm strain gage o

ID: 2996777 • Letter: L

Question

Let us consider the Wheatstone bridge shown below. R1 is a 120 Ohm strain gage of gage factor F = 2.1. Resistors R2 through R4 are all 120 Ohm resistors, the excitation voltage is Uexc = 5 V , and the gain of the instrumentation amplifier is G = 50.

a) Derive the second-order polynomial approximation for the output signal in Volts in terms of the strain ? to be measured in ?in/in.

b) Calculate analytically the maximum value of the relative difference between the linear and quadratic approximations for a maximum strain level of ?M =

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