Assignment:
Verify that a neutral zone produces the results of limits of oscillation and period given in the text.
The temperature of water in a tank is controlled by a two-position controller. When the heater is off the temperature drops at 2 K per minute. When the heater is on the temperature rises at 4 K per minute. The setpoint is 323 K and the neutral zone is 4% of the setpoint. There is a 0.5-min lag at both the on and off switch points. Find the period of oscillation and plot the water temperature versus time.
Provide complete and step by step solution for the question and show calculations and use formulas.