Question

To monitor the breathing of a hospital patient, a thin belt is girded around the patient's chest as in the figure below. The belt is a 160 turn coil. When the patient inhales, the area encircled by the coil increases by 40.0 cm2. The magnitude of earth's magnetic field is 50.0

Answer 1

Number of turns in the coil is N = 160

magnitude of the earths magnetic field is B = 50.0?T

Area of the coil increases by A = 40.0 cm^2

Magnetic field makes an angle normal to the plane of the coil is

           ? ' = 90 - 27

                 = 63 degrees

average induced emf in the coil during at that time e = ?? / dt

                                       = N BA cos ? / dt

                               = 160 * 50.0*10^-6 T * 40.0 *10^-4 m^2 cos ( 63 ) / 1.70s

                              = 8.546*10^-6 V

                              = 8.55 ?V