An MRI technician moves his hand from a region of very low magnetic eld strength

Question

An MRI technician moves his hand from a region of very low magnetic eld strength into an MRI scanner's 2.00T field, it takes quarter second for his hand to enter the field. The technician is wearing his wedding ring, which has a diameter of 2.20 cm and an electrical resistance of 10.0 m ohm.

a. If the technician's fingers are pointing in the direction of the field, find the average emf induced in his wedding ring.

b. Determine the average electrical current that will flow through his ring.

c. Determine any and all directions that the technician could point his fingers such that no electrical current would be induced.

Explanation / Answer

a)

change in flux = 2 x pix 1.1^2 x 10^-4 = 0.0007602

time for fluc change = 0.25 sec

EMF induced = change in flux / time

E = 0.000304 V

b)

induced current

i = E/R

i = 0.304 A

c)

finger should be perpendicular to magnetic field

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