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!

Energy density (electrodynamics/ Dirac delta etc)

  1. Nov 2, 2011 #1
    So I have the following velocity vector of a charged particle in an EM field

    [itex]\dot{\vec{r}} = (v_{0x}cos(\alpha t) - v_{0z}sin(\alpha t), \frac{qEt}{m} + v_{0y}, v_{0z}cos(\alpha t) + v_{0x}sin(\alpha t))[/itex]


    and I have to state the energy density, which is defined as follows:


    [itex]\tau = \sum \frac{m_{i}}{2}\dot{\vec{r_{i}}}^{2}\delta(\vec{r}-\vec{r}_{i})[/itex]

    My question is whether all I have to do is substitute the vector in the definition of the energy density or if I have to do something with the Dirac distribution as well. Thanks
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Energy density (electrodynamics/ Dirac delta etc)
  1. Piston/Cylinder etc (Replies: 0)

Loading...