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A patient is having a magnetic resonance imaging scan (an MRI) and has neglected

ID: 2158410 • Letter: A

Question

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 .0123 ohm. the magnetic field within the MRI's solenoid is perpendicular to the opening of her bracelet. while taking the scan, the magnetic field decreases from 1.04 T to .43 T in .700 seconds. if the magnitude of the average induced current in the bracelet during this time interval is .4241 A, what is the area of the opening of the circular bracelet? (in cm^2)

Explanation / Answer

V=d/dt=A.dB/dt

So IR=A.dB/dt

So A=IRdt/dB=5.98 x 10^-3 m^2

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