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Velocity of an electron.

  1. Feb 12, 2013 #1
    1. The problem statement, all variables and given/known data

    An electron with velocity v = 2.4 × 10^6 m/s i encounters an electric field E = 1250 N/C i. How long will it take for the speed to be one fourth its original value?

    2. Relevant equations

    Not sure

    Maybe E = kQ/r^2

    3. The attempt at a solution

    I don't know where to begin. Looking at it makes me think it won't slow down because both are pointing in the positive i direction. Also, does an electron have a charge of -1.602 X 10 ^-19 C?
     
  2. jcsd
  3. Feb 12, 2013 #2

    Pengwuino

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    Gold Member

    The electron will slow down. Given some electric field and a charge, what is the force that will be experienced by the electron? Knowing this, how can you calculate the acceleration using Newton's 2nd Law? This should give you a good start. Your equation for an electric field is not needed since you are told what the (constant) electric field is for this problem.
     
  4. Feb 12, 2013 #3

    mfb

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    2016 Award

    Staff: Mentor

    Right. And as it has a negative charge, it will slow down when it moves in the direction of the field lines.
    Can you relate the electric field to a force on the electron?

    This does not help.
     
  5. Feb 12, 2013 #4
    So what I did was multiply E and the charge of an electron to find the force between them.
    F= -2.0025 X 10^-16 N
    Then using F=ma
    when m = 9.109 X 10^-31 kg
    I got a = -2.2 X 10^14 m/s^2

    First, is this the direction I need to be going in or am I doing it wrong?
    Second, if this is right, how can I use the a to find the velocity and time it takes?

    Can I do the differential equation
    dv/dt=a?
     
    Last edited: Feb 12, 2013
  6. Feb 12, 2013 #5

    mfb

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    That is a good approach.
    You can use this to find the velocity as function of time, right. As the acceleration is constant, this is easy to solve.
     
  7. Feb 12, 2013 #6
    I got the time for it to get to a fourth of the velocity to be 3 X 10^-9 s

    That sound right? Is there a constant from the integration or will it be zero?

    I also think it might be 8 X 10^-9 s by doing
    v(0)=a(0)+c
    v(0)= initial velocity
    So c= the initial velocity.
     
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