To monitor the breathing of a hospital patient, a thin belt is girded around the patient’s chest. The belt is a 132 turn coil. When the patient inhales, the area encircled by the coil increases by 28.0 cm2. The magnitude of Earth’s magnetic field is 50.0 μT and makes an angle of 71.0° with the plane of the coil. (b) Assuming a patient takes 2.50 s to inhale, find the magnitude of the average induced emf in the coil during that time.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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To monitor the breathing of a hospital patient, a thin belt is girded around the patient’s chest. The belt is a 132 turn coil. When the patient inhales, the area encircled by the coil increases by 28.0 cm2. The magnitude of Earth’s magnetic field is 50.0 μT and makes an angle of 71.0° with the plane of the coil. (b) Assuming a patient takes 2.50 s to inhale, find the magnitude of the average induced emf in the coil during that time. 

Expert Solution
Step 1

Given data, 

Number of turns of the coil, N = 132 turns

Area encircled by the coil increases, the change in the area, A=28.0 cm2 =28.0×10-4 m2

The magnitude of Earth's magnetic field, B = 50.0 μ T =50.0×10-6 T

The angle between magnetic field and the plane of the coil, ϕ =71.0°   

The change in time interval ,t =2.50 s                                         

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