1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Radiation from a particle

  1. Aug 14, 2012 #1
    1. The problem statement, all variables and given/known data
    Does a particle in hyperbolic motion radiate?
    3. The attempt at a solution
    Griffiths say to use these 2 equations.
    [itex] w(t)= \sqrt{b^2+(ct)^2} [/itex]
    [itex] p= \frac{\mu_0q^2a^2 {\gamma}^6}{6\pi c} [/itex]
    gamma is the Lorentz factor
    w(t) is a function of time that describes position. now do I take the first derivative with respect to position to get v so I can plug that into the power equation and then take the derivative again to get a. I'm assuming that b is a constant. any help will be much appreciated.
    Last edited by a moderator: Aug 22, 2012
  2. jcsd
  3. Aug 14, 2012 #2


    User Avatar
    Homework Helper
    Gold Member

    Yes and yes. You should find that the power radiated is constant(!)
  4. Aug 22, 2012 #3


    User Avatar
    Homework Helper
    Gold Member
    2017 Award

    Cragar, that's a fairly famous question that I don't think has been definitively answered. I'm certainly not qualified to answer it. I think Pauli once argued that there should be no radiation for hyperbolic motion. For an interesting discussion, see http://www.mathpages.com/home/kmath528/kmath528.htm
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook