Sodium ions (Na + ) move at 0.846 m/s through a bloodstream in the arm of a pers

Question

Sodium ions (Na+) move at 0.846 m/s through a bloodstream in the arm of a person standing near a large magnet. The magnetic field has a strength of 0.260 T and makes an angle of 57.0

Sodium ions (Na+) move at 0.846 m/s through a bloodstream in the arm of a person standing near a large magnet. The magnetic field has a strength of 0.260 T and makes an angle of 57.0° with the motion of the sodium ions. The arm contains 115 cm^3 of blood with a concentration of 3.50 X 10^ 20 Na+ ions per cubic centimeter. If no other ions were present in the arm, what would be the magnetic force on the arm?

Explanation / Answer

Velocity v = 0.846 m / s

Magnetic field B = 0.260 T

Angle ? = 57 o

Concentration C = 3.5 x 10^20 /cm 3

Volume of the blood in arm V = 115 cm 3

So,No.of Na + ions in the blood of arm N = CV

                                                                = 4.025 x 10 ^22

Charge of each Na + ion e = 1.6 x 10 -19 C

? Charge of N ions Q = Ne

                                    = 644 C

Force F = BvQ sin ?

             = 1188 N

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