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

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^4 ions (of mass 3.8 times 10^'26 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 55 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? yes, this value for acceleration is dangerously large no, there are no health risks from the magnetic field it is unclear whether this would be dangerous

Explanation / Answer

Here ,

magnetic field , B = 45 T

speed , v = 55 cm/s

v = 0.55 m/s

let the acceleration is a

Using second law of motion

m * a = B * v * q

3.8 *10^-26 * a = 45 * 0.55 * 1.602 *10^-19

solving for a

a = 1.043 *10^8 m/s^2

the acceleration of the Na+ is 1.043 *10^8 m/s^2

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Yes , this value for acceleration is dangerously large

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