Answered: An MRI technician moves his hand from a…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 66AP: A metal bar of length 25 cm is placed perpendicular to a uniform magnetic field of strength 3 T. (a)...

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An MRI technician moves his hand from a region of very low magnetic field strength into an MRI scanner’s 2.00 T field with his fingers pointing in the direction of the field. His wedding ring has a diameter of 2.2 cm and it takes 0.425 s to move it into the field.

(a) What average current is induced in the ring in A if its resistance is 0.0100 Ω?

(b) What average power is dissipated in mW?
(c) What magnetic field is induced at the center of the ring in T?

Expert Solution

Answer for part (a)

The induced emf can be given by

$ε = \frac{d ϕ}{d t} = \frac{d}{d t} (B A) = π r^{2} \frac{d B}{d t}$

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