4.?.-110 points SerCP719P010.soln. Sodium ions (Na+) move at 0.853 m/s through a

Question

4.?.-110 points SerCP719P010.soln. Sodium ions (Na+) move at 0.853 m/s through a bloodstream in the arm of a person standing near a large magnet. The magnetic field has a strength of 0.258 T and makes an angle of 55.00 with the motion of the sodium ions. The arm contains 105 cm3 of blood with 4.00 x 1020 Na* ions per cubic centimeter. If no other ions magnetic force on the arm? were present in the arm, what would be the 19.P.009.soln. 5. le-110 points A proton moves perpendicularly to a uniform magnetic field ?? at 3.0 107 m/s and exhibits an acceleration of 2.0 x 1013 msn the +x-direction when its velocity is in the +z-direction. Determine the magnitude and direction of the field.

Explanation / Answer

chagre of Na+ = 1.6E-19

v= 0.858 m/s, B = 0.257

total number of Na+ ions = 90*2.5E20

force on 1 Na+ = qvBsin(theta)= 1.6E-19*0.858*0.257*sin(55 degrees) = 2.89E-20 N

==> force on the arm =total number of Na+ ion*force on one Na+ ion =90*2.5E20 *2.89E-20 = 650.25 N

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