A DC Wheatstone bridge contains three resistors whose resistance values are constant at 500 , and one component with unknown resistance value (). Given = 3 V, (a) (5') The output voltage Vo is measured to be 0 V. Determine the resistance of (). (b) (6') Suppose the unknown component is a temperature sensor (RTD) whose resistance is approximated by () = 0 [1 + ( 25)], where = 0.004 and is the temperature in oC. Suppose the measurement in (a) was taken at a temperature of 25 oC. Find 0 and the sensitivity of the sensor in /oC. (c) (9') Continue with (b). Suppose now the temperature increases, and the output voltage Vo is measured to be 30 mV. Determine the new resistance value of R(T) and the new temperature