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!

Graph curl onto the xz plane

  1. Nov 12, 2013 #1
    I posted the divergence of this earlier but thought I should post the curl separately.

    1. The problem statement, all variables and given/known data

    Find the curl of ##E=-Cx\hat{z}##


    2. Relevant equations
    ∇xE=##[\frac{∂E_z}{∂y}-\frac{∂E_y}{∂z}]\hat{x}+[\frac{∂E_x}{∂z}-\frac{∂E_z}{∂x}]\hat{y}+[\frac{∂E_y}{∂x}-\frac{∂E_x}{∂y}]\hat{z}##


    3. The attempt at a solution

    Since there's only a z component
    ∇xE=##-\frac{∂E_z}{∂x}=C\hat{y}##

    I'm suppose to graph this onto the xz plane. But, isn't all the same throughout the plane? I feel like maybe I missed a component from the derivatives but I think all the rest are 0, right?

    Thanks for any guidance.
     
  2. jcsd
  3. Nov 12, 2013 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, that is correct. For ever point the curl of [itex]-Cx\vec{z}[/itex] is the constant [itex]C\vec{y}[/itex].
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted