Answer in units of N Sodium ions (Nat) move at 0.794 m/s through a bloodstream i

Question

Answer in units of N

Sodium ions (Nat) move at 0.794 m/s through a bloodstream in the arm of a per son standing near a large magnet The magnetic field has a strength of 0.26 T and makes an angle 66.1° with the motion of the sodium ions. The arm contains 63.8 cm3 of blood within the magnetic field with 2.35 x 1020 Nat/cms If no other ions were present in the what would be the magnetic force onthe arm? (Note: In fact, many oppositely charged ions also flow in the bloodstream, so the net force is considerably smaller than the number you will calculate here.)

Explanation / Answer

Total number of sodium ions

n =63.8*2.35*10^20

n=1.5*10^22 Na+ ions

Total charge

Q=ne =1.5*10^22*1.6*10^-19

Q=2398.88 C

Magnetic force

F=QVBsin(o)

F=2398.88*0.794*0.26*sin66.1

F=452.76 N

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