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Emission of a moving particle

  1. May 29, 2015 #1
    1. The problem statement, all variables and given/known data
    Electron e, mass m, moves in constant homogeneous magnetic field H. Find time interval for electron's energy to decrease 10 times due to emission.
    2. Relevant equations
    I know for sure from the class that m*a=(e/c)*(v⊥)*H (Lorentz force); intensity -I=dE/dt=-2e4v⊥2H2/(3m2c5)
    dE/dt=(m/2)*d(v⊥2)/dt;
    here we have d(v⊥2)/dt=-4e4v⊥2H2/(3m3c5)
    3. The attempt at a solution
    The problem is in the next step. What should I do further? I have a differential equation. May I take an integral over d(v⊥2) from v2 to v2/10 and on the other side of equation take an integral over dt from 0 to t?[/sup]
     
  2. jcsd
  3. May 29, 2015 #2

    mfb

    User Avatar
    2016 Award

    Staff: Mentor

    After rearranging, you can do that.
     
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