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Eletric field, acceleration

  1. Apr 30, 2015 #1
    1. The problem statement, all variables and given/known data
    I dont have any statement, i have to find the problem statement from the answers
    a) E = Q / [ Eo* (0.020 m)^2 ]
    b) a = E (1.60*10-19 C)/(1.67*10^-27 kg) = 2.0 *10^12 m/s^2
    R=0,020 m
    q=1.60*10-19 C
    m=1.67*10^-27 kg
    2. Relevant equations
    F=ma => a=qE/m
    Gauss Law Integral of (E,ds)=Q/Eo
    3. The attempt at a solution
    So given E constant everywhere i can assume that E*(integral of ds)=Q/Eo, so if this was a sphere it would be
    4piR^2*E=Q/Eo so its out, my equation must be something like E*R^2=Q/Eo , so my area should be a a square ?,
    also E and the trajectory of my q must be parallel right ?
    Any helpful hints are really appreciated ;d
     
  2. jcsd
  3. May 1, 2015 #2

    ehild

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    3. The attempt at a solution
    So given E constant everywhere i can assume that E*(integral of ds)=Q/Eo, so if this was a sphere it would be
    4piR^2*E=Q/Eo so its out, my equation must be something like E*R^2=Q/Eo , so my area should be a a square ?,
    also E and the trajectory of my q must be parallel right ?
    Any helpful hints are really appreciated ;d[/QUOTE]
    You guess well, it might be the constant electric field of a a charged square-shaped plate, or rather the electric field between the plates of a planar capacitor with charge Q, where the plates of the capacitor are squares of sides 0.02 m.
    The trajectory of the particle with charge q need not be parallel to E, but its acceleration has to be. What do you think the particle is?
     
  4. May 1, 2015 #3
    Given its mass and charge it must be certainly a proton, i have been thinking about the capacitor but truly as we have not talked about it once during the lectures so I wasnt keen on that idea,I'm grateful for your insight into this unusual problem
     
  5. May 1, 2015 #4

    ehild

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    That is correct, it must be a proton. Well done!
    In case of single charged plate, the electric field is Q/(2Aε0), but it is Q/(Aε0) in case of a capacitor.
     
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