An MRI scanner is based on a solenoid magnetthat produces a large magnetic field. The magnetic field doesn’tstop at the solenoid’s edge, however, but extends into the areaaround the magnet. Suppose a technician walks toward the scanner at 0.80 m>s from a region 1.0 m from the scanner where themagnetic field is negligible, into a region next to the scanner where the field is 4.0 T and points horizontally. (a) As a resultof this motion, what is the maximum magnitude of the changein flux through a loop defined by the outside of the technician’shead? Assume the loop is vertical and has a circular cross sectionwith a diameter of 18 cm. (b) What is the magnitude of the average induced emf around the outside of the technician’s head during the time she’s moving toward the scanner? (The biologicaleffects due to motion in a strong magnetic field include nauseaand dizziness.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter23: Faraday’s Law And Inductance
Section: Chapter Questions
Problem 25P
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An MRI scanner is based on a solenoid magnet
that produces a large magnetic field. The magnetic field doesn’t
stop at the solenoid’s edge, however, but extends into the area
around the magnet. Suppose a technician walks toward the scanner at 0.80 m>s from a region 1.0 m from the scanner where the
magnetic field is negligible, into a region next to the scanner where the field is 4.0 T and points horizontally. (a) As a result
of this motion, what is the maximum magnitude of the change
in flux through a loop defined by the outside of the technician’s
head? Assume the loop is vertical and has a circular cross section
with a diameter of 18 cm. (b) What is the magnitude of the average induced emf around the outside of the technician’s head during the time she’s moving toward the scanner? (The biological
effects due to motion in a strong magnetic field include nausea
and dizziness.)

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