Determine the direction of the force on a proton if it has a velocity in the +y direction and is moving through a B-field that is oriented along the -z direction? A. No force acts B. -y C. +Z D. -X

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Chapter1: Units, Trigonometry. And Vectors
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3.
Determine the direction of the force on a proton if it has a velocity in the +y direction
and is moving through a B-field that is oriented along the -z direction?
A. No force acts
B. -Y
C. +Z
D. -X
Transcribed Image Text:3. Determine the direction of the force on a proton if it has a velocity in the +y direction and is moving through a B-field that is oriented along the -z direction? A. No force acts B. -Y C. +Z D. -X
Expert Solution
Step 1

Force experienced by a charged particle in a magnetic field B is given by:

F = q ( v x B)

where, q = charge of proton = +e

Given, v = velocity is in y direction. Thus in vector notation, v = voj^

and B = Bo(-k^)

Thus, F = q ( v x B) = qvoBo (j^ x -k^) = -qvoBo (j^ x k^) = qvoB(-i^)

Thus, the direction will be along the (-x) direction.

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