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Please show steps One possible concern with MRI (magnetic resonance imaging) is

ID: 1452803 • Letter: P

Question

Please show steps

One possible concern with MRI (magnetic resonance imaging) is turning the magnetic field on or off too quickly. Bodily fluids are conductors, and a changing magnetic field could cause electric currents to flow through the patient. Suppose a typical patient has a maximum cross-section area of 6.6 times 10^-2 m^2. What is the smallest time interval in which a 5.7 T magnetic field can be turned on or off if the induced emf around the patient's body must be kept to less than 0.11 V ? Express your answer using two significant figures.

Explanation / Answer

EMF = -N*d(phi)/dt

N = 1

phi = B*A

EMF = -A*dB/dt

EMF = 0.11 V

A = 6.6*10^-2 m^2

dB = 0 - 5.7 = -5.7

dt = A*dB/EMF = 6.6*10^-2*5.7/0.11

dt = 3.42 sec