13) To monitor the breathing of a hospital patient, athin belt is girded around

Question

13) To monitor the breathing of a hospital patient, athin belt is girded around the patient's chest. The belt is a233 turn coil. When the patient inhales,the area encircled by the coil increases by 39.0 cm2.The magnitude of the Earth's magnetic field is 50.0 µT andmakes an angle of 28.0° with the plane of the coil. Assumingthat a patient takes 1.80 s to inhale, find the average induced emfin the coil during this time.

E = µV
13) To monitor the breathing of a hospital patient, athin belt is girded around the patient's chest. The belt is a233 turn coil. When the patient inhales,the area encircled by the coil increases by 39.0 cm2.The magnitude of the Earth's magnetic field is 50.0 µT andmakes an angle of 28.0° with the plane of the coil. Assumingthat a patient takes 1.80 s to inhale, find the average induced emfin the coil during this time.

E = µV

Explanation / Answer

Induced emf E = NB dA / dt

Where N = No.of truns = 233

           B = Magnetic field B = 50 * 10 ^ -6 T

Change in area dA = 39 cm ^ 2 = 39 * 10 ^ -4 m^ 2

Time interval dt = 1.8 s

Plug the values we get   E = 2.524 * 10 ^ -5 Volt

                                          =25.24 * 10 ^ -6 Volt

                                          = 25.24 V

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