D A T 0 05 C charge moves with a velocity of 1000 m/\'s to the right, and encoun

Question

D A T 0 05 C charge moves with a velocity of 1000 m/'s to the right, and encounters a constant magnetic field of 0,001 pointed 30 degrees from the vertical direction a. What is the direction of the force (show a picture illustrating the vector cross product) b. What is the magnitude of the force? c. If the mass is 1 g, what is the acceleration? d. As the mass continues to move, will the direction of the force and acceleration remain the same Explain in detail, using the relevant equations and a clearly labeled diagram.

Explanation / Answer

a] Force F = q v x B

Force will be into the page

b] F = qvB sin theta = 0.05*1000*0.001* sin (90 - 30) degree = 0.0433 N

c] acceleration a = F/m = 0.0433/0.001 = 43.3 m/s^2

d] No, direction of velocity changes because of magnetic force, and the changed velocity will cause change in magnetic force and thus acceleration also changes.

It will be a helicalpath.

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