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Homework Help: Charge Density from E-field

  1. Apr 4, 2014 #1
    1. The problem statement, all variables and given/known data
    I have a function for an E-field [tex]E(x,y,z,t)=E_o\cos(k(x-ct))\hat j[/tex] and I need to find the charge density....
    2. Relevant equations

    [tex]\vec \nabla \cdot\vec E=\frac{\rho}{\epsilon_o}[/tex]

    3. The attempt at a solution

    When I compute the dot product of gradient operator with the E-field I get zero since the only "term" in the factor is in the y direction, but it also does not have any variation with y so is the charge density in this region of space just zero?
  2. jcsd
  3. Apr 4, 2014 #2


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    I would agree with that.
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