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!

Line integral along a path

  1. Apr 3, 2013 #1
    1. The problem statement, all variables and given/known data

    Vector field is F=-y[itex]\hat{x}[/itex] + x[itex]\hat{y}[/itex]

    Compute the line integral along the path c(t)=( cos(t), sin(t) ) with 0≤t≤∏

    2. The attempt at a solution
    i started computing f.dl but how much is dl ? I took it dx[itex]\hat{x}[/itex] +dy[itex]\hat{y}[/itex] i'm not sure if using Cartesian coordinates is right ?
  2. jcsd
  3. Apr 3, 2013 #2


    User Avatar
    Science Advisor

    I can's see why you would say " i'm not sure if using Cartesian coordinates is right" when everything is given in Cartesian coordinates. You are given that the line is defined by [itex]c(t)= (cos(t), sin(t))[/itex] so it should be clear that [itex]dc= (-sin(t), cos(t))dt[/itex] and that is dl because it has unit length.
  4. Apr 3, 2013 #3
    Found it ! it's 0.5∏
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted