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Electrons through parallel plates, help please

  1. Oct 14, 2012 #1
    1. The problem statement, all variables and given/known data
    An electron beam enters the region between two oppositely charged parallel plates near the negatively charged plate, as shown below. The plates are 0.150m long and are 0.040m apart. There is an electrical potential difference of 60.0V across the two plates which creates an electric field in the region.

    The path of the electrons just touches the edge of one of the plates as the beam exits the region between the parallel plates.

    ---------------------- negative plate
    |
    |.040m 60.0V
    |
    ----------------------- positive plate
    .150m
    2. Relevant equations
    e=ΔV/ΔD
    a=Fe/m

    3. The attempt at a solution
    1. E=v/d
    60v/.040m = 1500v/m

    a=fe/m=qe/m=(1.6*10^-19)(1500)/(9.11*10^-31)= 2.634467618*10^14 down

    t=[itex]\sqrt{2d/a}[/itex] = [itex]\sqrt{(2*.040)/2.63....*10^14}[/itex]
    = 1.742603416*10^-8

    so using projectile motion i made a chart and listed variables i knew

    y
    a=2.6...*10^14
    V-intial = 0
    d=.040m

    x
    Vi=?
    d=.150m

    So i found time since time is the same in these types of question if im correct.

    V=d/t
    v=.150/1.74*10^-8
    =8.61*10^m/s

    is this right? i have no answer sheet and im wondering if i did it right

    thanks
     
  2. jcsd
  3. Oct 14, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    The power of 10 is missing from your result. Otherwise the solution is correct.
     
  4. Oct 14, 2012 #3
    oops sorry, i got to the power of 6, ill recheck my work perphaps i rounded wrong or perphaps you might have
     
  5. Oct 15, 2012 #4

    ehild

    User Avatar
    Homework Helper
    Gold Member

    Power of 6 is OK. I checked your solution, it is correct.

    ehild
     
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