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!

Value of line integral

  1. Dec 14, 2008 #1
    1. The problem statement, all variables and given/known data
    There is a constant electric field E = E0sin(kz+wt+pi/3) k(direction vector). What is the value of the line integral(P) B.dl, where P is a circular path, centered on the origin, lying in the xy-plane, having radius r?


    2. Relevant equations
    integral E.dl = -dI/dt


    3. The attempt at a solution
    I am having difficulty approaching this question, can someone please give me some kind of push? Thanks.
     
  2. jcsd
  3. Dec 14, 2008 #2

    James R

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    First, that isn't a constant electric field. It varies with time.

    Second, your equation in (2) should read:

    [tex]\int B.dl = +\epsilon_0 \mu_0 \frac{d\Phi_E}{dt}[/tex]

    so that the line integral of the magnetic field B around the circle relates to the change in electric flux passing through the loop.

    The equation you quoted looked like it was for the line integral of the electric field around a closed loop.

    Can you see where to go from here?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Value of line integral
  1. Line Integral in E & M (Replies: 12)

Loading...