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The National High Magnetic Field Laboratory holds the world record for creating

ID: 1309519 • Letter: T

Question

The National High Magnetic Field Laboratory holds the world record for creating the strongest magnetic field. Their largest hybrid magnet can produce a constant magnetic field of 45 T. To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration the field could produce for Na* ions (of mass 3.8 Times 10-26 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 35 cm/s is reasonable in the aorta. Would you guess that the acceleration you found above would be dangerous for workers to be near such a large magnetic field?

Explanation / Answer

F = ma = B*q*v

a = Bqv/m = (45*1.602*10^-19*0.35)/(3.8*10^-26) = 66.39*10^6 m/s^2

yes, this value is dangerously large

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