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

Question

A patient is having a magnetic resonance imaging scan (an MRI) and has neglected to remove a 7.5 cm diameter metallic bracelet. The resistance of the bracelet is 0.0170 ohms. 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 1.11 T to 0.39 T in 1.30 seconds. What is the magnitude of the average induced current in the bracelet?

A 1.05 X 10-1

B 1.23 X 10-1

C 1.44 X 10-1

D 1.68 X 10-1

E 1.97 X 10-1

F 2.31 X 10-1

G2.70 X10-1

H 3.16 X 10-1

Explanation / Answer

I = A dB/dt / ( R)

= ( pi * (0.075/2)^2) * ( 1.11 - 0.39 ) / ( 0.0170*1.3)

= 0.144 Amp

C 1.44 X 10-1

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