Direction of electron in magnetic field?

AI Thread Summary
An electron moving at a speed of 4.00 x 10^5 m/s in a 3.2 T magnetic field experiences an upward magnetic force of 1.00 x 10^-14 N. The calculation using the formula F = qvBsin(theta) leads to an angle of approximately 2.8 degrees counterclockwise from south. This translates to 357.2 degrees clockwise from south. The second angle, derived from the same calculations, is approximately 182.8 degrees clockwise from south. The final answers for the possible directions of the electron are 182.8 degrees and 357.2 degrees clockwise from south.
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Homework Statement



An electron moves with speed 4.00 105 m/s in a uniform magnetic field of 3.2 T, pointing south. At one instant, the electron experiences an upward magnetic force of 1.00 10-14 N. In what possible directions might the electron be moving at that instant? Give your answers as angles clockwise from south (from 0° to 360°), in increasing degrees.

(I have to find two answers in degrees, both clockwise from south).

Homework Equations



F = qvBsin(theta)

The Attempt at a Solution



F = qvBsin(theta)

sin(theta) = F / qvB

= (1x10-14) / [(1.6x10-19)(4x105)(3.2)]

= .0488

theta = sin-1(.0488)

theta = 2.8

So my first angle was approximately 2.8. I subtracted that from 270 degrees ("south") to get my final angle of 267.2 degrees. Then I subtracted 2.8 from 180 to get my second angle, which was approximately 177.2. I subtracted THAT number from 270 degrees to get my final second angle of approximately 92.8 degrees. I thought that 267.2 and 92.8 were my answers, but they are coming up as incorrect. I also tried rounding to a whole number, which didn't work either.
 
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I wouldn't "subtract from 270".
The 2.8 is already the angle from south.
According to the left hand rule, it has a component to the left, so it must be 2.8 degrees counterclockwise from south. That would 357.2 degrees clockwise from south.
 
It was 182.8 and 357.2. Thanks!
 
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