Problem respiration monitor: to monitor the breathing of a hospital patient, a thin belt is wrapped around the patient's chest. the belt is a 200-turn wire coil. when the patient inhales, the area of the coil increases by 39.0 cm2. the magnitude of the earth's magnetic field is 50.0 ht and makes a 28.0° angle with the plane of the coil. if a patient takes 1.80 s to inhale, find the average induced emf in the coil during this time