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!

Finding charge density generating an Electric Field

  1. Jun 13, 2012 #1
    1. The problem statement, all variables and given/known data

    Show that electrostatic field E = br
    where b is a constant
    is irrotational

    Find the charge density ρ(r) which can generate this electric field

    2. Relevant equations

    ∇ x E = 0 (following stoke theorem)

    ρ = ε0(div E) since: div E = [itex]\frac{ρ}{ε}[/itex]

    3. The attempt at a solution

    The first part (I'm assuming) will suffice as ∇ x E = 0

    The second part ρ = ε0(div E) = ε0(div br) = bε0(div r)

    The question is whether I can compute (div r) or not. Does "r" in this particular case equal to square root (x+y+z)2? I'm assuming I can't know data given, which is why I am tempted to leave the solution as it is.

    Thanks
     
  2. jcsd
  3. Jun 13, 2012 #2
    You cannot take the divergence of a scalar, so I suppose that r is actually the vector:

    [itex]\vec r=(x,y,z)[/itex]
     
  4. Jun 13, 2012 #3
    Ah good, that's what I was thinking. Thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Finding charge density generating an Electric Field
Loading...