The National High Magnetic Field Laboratory holds the world record for creating
ID: 1426254 • Letter: T
Question
The National High Magnetic Field Laboratory holds the world record for creating the largest magnetic field. Their long-pulse magnet produced a magnetic field of 60 T.
1)
To see if such a strong magnetic field could pose health risks for nearby workers, calculate the maximum acceleration the field could produce on Na+
ions (of mass 3.8×1026 kg) in blood traveling through the aorta. The speed of blood is highly variable, but 50 cm/s is reasonable in the aorta. (Express your answer to two significant figures.)
Explanation / Answer
given
m = 3.8*10^-28 kg
v = 50 cm/s= 0.5 m/s
B = 60 T
magnetic force acting on Na+ Ions, F = q*v*B*sin(theta)
Fmax = q*v*B*sin(90)
m*a_max = q*v*B
==> a_max = q*v*B/m
= 1.6*10^-19*0.5*60/(3.8*10^-28)
= 1.3*10^10 m/s^2 <<<<<<<<<<<-------------Answer
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