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To monitor the breathing of a hospital patient, a thin belt (a 200-turn coil) is placed around the patient's chest. Suppose that the belt has a radius of 20cm and when the patient inhales, the belt expands to a radius of 20.5cm. The magnitude of the Earth's magnetic field is 50.0μT and makes an angle of 50o with the normal to the coil. Assuming that a patient takes 1.80 s to inhale, find the average induced emf in the coil during this time. What is the induced emf when the person exhales over the same time interval? What would a voltage versus time trace look like on a monitor screen as the person inhales and exhales?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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