-2.50 times 10-5 0.00 2.50 times 10-5 5.00 times 10-5 1.00 times 10-4 A patient

Question

-2.50 times 10-5 0.00 2.50 times 10-5 5.00 times 10-5 1.00 times 10-4 A patient is having a magnetic resonance imaging scan (an MRI) and has neglected to remove a circular, metallic bracelet. The resistance of the bracelet is 0.0177 Ohm. The magnetic field within the MRI's solenoid is perpendicular to the opening of his bracelet. While taking the scan, the magnetic field decreases from 1.38 T to 0.47 T in 1.50 seconds. If the magnitude of the average induced current in the bracelet during this time interval is 0.1727 A, what is the area of the opening of the circular bracelet? (in cm-2) 2.30 times 101 3.68 times 101 5.90 times 101 2.69 times 101 4.31 times 101 6.90 times 101 3.15 times 101 5.04 times 101

Explanation / Answer

EMF induced =rate of change in flux = Area*change in magnetic field / time this EMF = current * resistance so 0.1727 * 0.0177 = area * (1.38-0.47)/1.5 => area = 0.005038 m^2 = 50.38 cm^2 (Option F)

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