A laboratory may create a strong magnetic field of magnitude For brief periods o

Question

A laboratory may create a strong magnetic field of magnitude For brief periods of time, their largest multi-shot pulsed magnet can produce magnetic fields in excess of 85 T. To see if such a strong magnetic field could pose health risks for scientists working nearby, determine the maximum acceleration the magnetic field could produce for Na^+ ions in blood traveling through the aorta at 55 cm/s. The mass of these ions are 3.8 times10^-26 kg and their charge is equal to one elementary unit of charge: 1.6 times 10^-19 C.

Explanation / Answer

given

B = 85 T

v = 55 cm/s = 0.55 m/s

m = 3.8*10^-26 kg

q = 1.6*10^-19 C

magnetic force acting on moving charged particle,

F = q*v*B*sin(theta)

m*a = q*v*B*sin(90) (using Newton's second law)

a = q*v*B/m

= 1.6*10^-19*0.55*85/(3.8*10^-26)

= 1.97*10^8 m/s^2

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