1. Consider the pressure control system shown below. The pressure transmitter. PT. has a range of 0 to 100psig. The controller, PC, is a proportionat only controller, its bias (steady statc) value is set it mid-scale, and its set point is 10 psig. (a) Is the controller reverse-acting or direct-acting? (5%) (b) Obtain the proportional band required so that when the pressure in the tank is 30 psig, the fail-open valve will be wide open. (15\%)