III. (55') Calculation Questions (Please show all your steps.) 1. (20') A DC Wheatstone bridge contains three resistors whose resistance values are constant at 500 2, and one component with unknown resistance value R(T). Given Vs = 3 V, (a) (5') The output voltage Vo is measured to be 0 V. Determine the resistance of R(T). R1 500 0 Vo to 2 500 (b) (6') Suppose the unknown component is a temperature sensor (RTD) whose resistance is approximated by R(T) = Ro[1 + a(T-25)], where a = 0.004 and T is the temperature in °C. Suppose the measurement in (a) was taken at a temperature of 25 °C. Find Ro and the sensitivity of the sensor in Q/°C. 5000 RIT) (c) (9') Continue with (b). Suppose now the temperature increases, and the output voltage Vo is measured to be 6 mV. Determine the new resistance value of R(T) and the new temperature.