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Motion in a Magnetic Field problem

  1. Feb 19, 2012 #1
    1. The problem statement, all variables and given/known data
    A proton (q = 1.6 X 10-19 C, m = 1.67 X 10-27 kg) moving with constant velocity enters a region containing a constant magnetic field that is directed along the z-axis at (x.,y) = (0,0) as shown. The magnetic field extends for a distance D = 0.7 m in the x-direction. The proton leaves the field having a velocity vector (vx, vy) = (4.3 X 105 m/s, 3.2 X 105 m/s).

    What is h, the y co-ordinate of the proton as it leaves the region conating the magnetic field?



    2. Relevant equations

    -----

    3. The attempt at a solution

    I found R, the curvature of the path, but I have no idea how to find h. I tried using trig and geometry but it didn't work! This is what I did...

    h/d=sin(θ)
     

    Attached Files:

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      m.png
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  2. jcsd
  3. Feb 20, 2012 #2

    tiny-tim

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    hi kjlchem! :smile:

    hint: what is the velocity as a function of time? :wink:
     
  4. Feb 20, 2012 #3
    You can easily work it out after what tiny has said using calculus.
     
  5. Feb 21, 2012 #4
    you can easily do with this figure :)
     

    Attached Files:

  6. Oct 5, 2013 #5
    I would like to ask something about the diagram. How does one know that the left side of the "square region" has a total length "r?"
     
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