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PLEASE SHOW WORK A single charge Q = -20 ?C moves upward into a box with a magne

ID: 3895948 • Letter: P

Question

PLEASE SHOW WORK

A single charge Q = -20 ?C moves upward into a box with a magnetic field of 7 T and follows the path shown in the diagram. The mass of the particle is 0.0040 g (note the units are grams) and the particle moves with a speed of 190 m/s.

21) What is the magnitude of the magnetic force on the particle while in the magnetic field?

22) What is the distance between the points where the charge enters and exits the magnetic field? (Note: this is the DIAMETER of the circle, not the radius.)

Explanation / Answer

21. apply magnetic force F = qvB

F = -20uC * 190 * 7

F = -0.026 N or 26.6 m N


22. apply mv^2/r= qvB

r = mv/qB

r = 0.0040 *10^-3 * 190/(20uC * 7)

r = 5.42 m

diamtere = 2r = 10.85 m

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