V B R, D R (strain gage) A Wheatstone bridge with a strain gauge is shown above. The nominal gauge resistance is 120 2. The gauge factor is 2.065. The temperature dependence of the resistance of the strain gauge is R = Ro(1+0.004AT). (AT in units C) V = 10V. a.) You apply a strain of 500 strain to the gauge. What is the value R needed to balance the bridge? Note: Assume R = R4. b.) Express the effect of temperature in units ustrain/C. Assume that the temperature in the lab has a maximum change of 3C. What would be the systematic uncertainty on a strain 1 measurement due to temperature changes? Note that this estimate is not including self- heating. c.) An identical strain gauge is placed on position 2 in the Wheatstone bridge to allow for temperature compensation. The bridge is initially balanced. What voltage will you measure for V, when 500 strain is applied to the gauge that is in position 3? Assume there is zero strain on the temperature compensation gauge that is in position 2. d.) Describe how you could increase the sensitivity by adding another strain gauge on position 1. On what side of the beam (upper or lower part) would you attach this additional strain gauge if the original strain gauge is mounted on the upper part? Draw the beam and clearly indicate the position of all the gauges on the beam. e.) Describe how you could increase the sensitivity by adding one more strain gauge at position 4. On what side of the beam (upper or lower part) would you attach this additional strain gauge if the original strain gauge is mounted on the upper part? Draw the beam and clearly indicate the position of all the gauges on the beam.