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!

Electric field from a circle arc

  1. Sep 12, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the x-component of the electric field
    at the origin due to the full arc length
    for a charge of 3.8 μC and a radius of
    1.9 m. The value of the Coulomb constant
    is 8.98755 × 109 N · m2/C2.


    2. Relevant equations
    E = kq/r^2
    dq = q dθ
    λ = Q/ (R θ)


    3. The attempt at a solution
    I said E = kq/r^2
    And so Ex = kq/r2 * sinθ
    and dEx = k*dq/r2 * sinθ
    and dq = λ ds
    ds = R dθ
    λ = q/s
    so dq = Q/θ dθ

    I get kq/r2 ∫sinθ/ θ dθ

    But when I input the answer from this integral (from the calculator) the answer is wrong.
     

    Attached Files:

  2. jcsd
  3. Sep 12, 2012 #2

    rl.bhat

    User Avatar
    Homework Helper

    What is your answer?
     
  4. Sep 12, 2012 #3
    I got 12968.1 N/C.


    Is my method correct?
     
  5. Sep 12, 2012 #4

    rl.bhat

    User Avatar
    Homework Helper

    I don't think so.
    dq = λ*ds, where
    λ= q / s , ds = r*dθ and s = πr/2
    Substituute these values in the expression of dE and find the integration taking limits θ = 0 to π/2
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Electric field from a circle arc
Loading...