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!

Charge density required to create an electric field

  1. Mar 29, 2017 #1
    1. The problem statement, all variables and given/known data
    Given an electric field $$\vec E(x,y,z)=\begin{pmatrix}ax^2+bz\\cy\\bx\end{pmatrix},$$with nonzero constants ##a,b,c##, I am supposed to find the charge density ##\rho(x,y,z)## which is necessary to create this field ##\vec E##.

    2. Relevant equations
    ##\rho=\frac{\mathrm dq}{\mathrm dV}##

    3. The attempt at a solution
    I know that electric fields are created by charges, but I don't understand the connection between charge density and an electric field. As far as I understand the above formula, charge density is simply the amount of charge in a certain volume. How does this relate to electric fields?
     
  2. jcsd
  3. Mar 29, 2017 #2

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    You will need a different relevant equation: something like ##\rho =\varepsilon_0\, \nabla \cdot \vec E##
     
  4. Mar 29, 2017 #3
    Thanks! I get the result ##\rho(x,y,z)=\epsilon_0(2ax+c)##. If this is correct, what does it actually mean? Like, to create ##\vec E##, should I start with zero charge on the ##yz##-plane and then place linearly more and more charges in space the larger my distance to the ##yz##-plane gets? (with the right sign, of course)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Charge density required to create an electric field
Loading...