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Homework Help: Speed of oscillation of free electrons

  1. Apr 19, 2010 #1
    1. The problem statement, all variables and given/known data

    Find maximum speed of oscillation of a free electron near Earth’s surface due to
    Sun’s electromagnetic field. Find out the ratio of maximum magnetic force acting
    on the electron Fm to the maximum electric force Fe. Regard Sun’s radiation as
    monochromatic with wavelength of 550 nm. Average intensity of Sun’s radiation
    at Earth atmosphere is 1400 W/m2.

    2. Relevant equations

    mx'' + m [tex]\Gamma[/tex] x' + m [tex]\omega[/tex]02 x = eE

    3. The attempt at a solution

    clearly the above equation is just a second order DE with a driving and damping force. My question is do I solve for omega? which would be [tex]\sqrt{ke/m}[/tex] ? Or is there another equation that I am possibly unaware of that could be of use?
  2. jcsd
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