1. (30 points) Figure 1 shows a strain gauge mounted on a steel cantilever beam; the gauge factor is 2 and maximum strain output is 500 . The signal is to be recorded using a 12-bit A/D converter having a 0-10V input range, with the weight displayed in a digital user interface system. a. Describe with neat sketches about the sensor arrangement on the beam and bridge circuit diagram. (5 points) b. The supply voltage to the Wheatstone bridge could be 1, 3, 6,10 V (selectable), calculate the voltage output from the bridge you used in problem 1.a(5 points) c. Estimate the percent quantization error in the digital value. (5 points) d. If the analog signal can be first passed through an amplifier circuit, compute the amplifier gain required to reduce the quantization error to 0.5% or less. (5 points) e. If the applied force F=0, usually the output voltage after the A/D converter is not equal to zero, give your explanations about the cause of this offset voltage, and give solutions to minimize the influence of this offset voltage. (5 points) f. With reference to the specifications of strain gauge sensors commercially available, to calculate this system measurement uncertainty at the design-stage? (5 points) Strain gauge Cantilever beam F Figure 1 strain gauge Spring Object M helle Seismic mass Input motion - Output transducer Damper in motion Figure 2 seismic instrument