To monitor the breathing of a hospital patient, a thin belt (a 200-turn coil) is placed around the patient's chest. Suppose that the belt has a radius of 20cm and when the patient inhales, the belt expands to a radius of 20.5cm. The magnitude of the Earth's magnetic field is 50.0μT and makes an angle of 50o with the normal to the coil. Assuming that a patient takes 1.80 s to inhale, find the average induced emf in the coil during this time. What is the induced emf when the person exhales over the same time interval? What would a voltage versus time trace look like on a monitor screen as the person inhales and exhales?