One possible concern with MRI (magnetic resonance imaging) is turning the magnet

Question

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 6.2×102 m2

Part A

What is the smallest time interval in which a 6.0 T magnetic field can be turned on or off if the induced emf around the patient's body must be kept to less than 8.0×102 V ?

Express your answer using two significant figures.

t = ______ s

Explanation / Answer

Induced emf e = - d(Pi) / dt

e = Area * dB/dt

Solve for time

dt = area * B / e

dt = 6.2*10^-2 * 6 / 8.0*10^-2

dt= 4.65 s

dt = 4.7 s

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