Respiration monitor belts are sometimes used in hospitals to monitor the breathing of patients. One particular model consists of a 200-turn coil of wire that wraps around a patient's chest. When the patient inhales, the area bounded by the coil increases by 38.0 cm2. The magnitude of the Earth's magnetic field is 50.0 µT and makes an angle of 28.0° with the plane of the coil. If the patient takes 1.75 s to inhale, what is the magnitude of the average induced emf in the coil (in µV) during this time interval? 19.174

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Respiration monitor belts are sometimes used in hospitals to monitor the
breathing of patients. One particular model consists of a 200-turn coil of wire
that wraps around a patient's chest. When the patient inhales, the area
bounded by the coil increases by 38.0 cm2. The magnitude of the Earth's
magnetic field is 50.0 µT and makes an angle of 28.0° with the plane of the
coil. If the patient takes 1.75 s to inhale, what is the magnitude of the
average induced emf in the coil (in µV) during this time interval?
19.174
Note that the angle given in the question is the angle between the magnetic
field and the plane of the loop. To find the flux, you need to calculate the
cosine of the angle between the field and the area normal vector
perpendicular to the plane. µV
Transcribed Image Text:Respiration monitor belts are sometimes used in hospitals to monitor the breathing of patients. One particular model consists of a 200-turn coil of wire that wraps around a patient's chest. When the patient inhales, the area bounded by the coil increases by 38.0 cm2. The magnitude of the Earth's magnetic field is 50.0 µT and makes an angle of 28.0° with the plane of the coil. If the patient takes 1.75 s to inhale, what is the magnitude of the average induced emf in the coil (in µV) during this time interval? 19.174 Note that the angle given in the question is the angle between the magnetic field and the plane of the loop. To find the flux, you need to calculate the cosine of the angle between the field and the area normal vector perpendicular to the plane. µV
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