1. Not finding help here? Sign up for a free 30min 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!

Point Particle in Magnetic Field

  1. May 9, 2006 #1
    Hey, Guys!

    Could you please give me some guidance for the following problem:

    A point particle of mass m and charge q moves with an arbitrary initial velocity [itex]\vec{v}[/itex] in constant magnetic field [itex]\vec{B}[/itex]. The point particle is moving under the influence of the Lorentz-force:[itex]\vec{K}=\frac{q}{c}(\vec{v}\times\vec{B})[/itex], where c - speed of light. Evaluate the path:[itex]\vec{r}(t)[/itex]

    Where or how should I start? Just ask me guiding questions, please.

    Thanks :smile:
     
    Last edited: May 9, 2006
  2. jcsd
  3. May 9, 2006 #2
    We formulate the law of motion as ODE:
    [itex]m\vec{a}=\frac{q}{c}(\vec{v}\times\vec{B})[/itex], where of course [itex]\vec{a}=\ddot\vec{r},\vec{v}=\dot\vec{r}[/itex] So all we have to do is to solve this ODE. But how do we handle the cross-product in an ODE?
     
    Last edited: May 9, 2006
  4. May 9, 2006 #3
    I'm not sure but maybe you should write the cross product in the matrix determinant form.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Point Particle in Magnetic Field
Loading...