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!

Magnetic Fields from Currents in a Wire and a Cylindrical Shell

  1. Mar 27, 2013 #1
    1. The problem statement, all variables and given/known data[/b]

    A solid cylindrical conducting shell of inner radius a = 4.9 cm and outer radius b = 6.1 cm has its axis aligned with the z-axis as shown. It carries a uniformly distributed current I2 = 7.4 A in the positive z-direction. An inifinte conducting wire is located along the z-axis and carries a current I1 = 2.8 A in the negative z-direction.https://www.smartphysics.com/Content/Media/Images/EM/15/h15_cylinders.png [Broken]

    What is ∫B[itex]\bullet[/itex]dl where the integral is taken along the dotted path shown in the figure above: first from point P to point R at (x,y) = (0.707d, 0.707d), and then to point S at (x,y) = (0.6d, 0.6d).

    2. Relevant equations

    Ampere's Law

    3. The attempt at a solution

    Not real sure how to start this question. i know the integral =4*pi*10^-7* I(enclosed) are we suppose to find the charge density of the outer circle?
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Mar 27, 2013 #2
    Charge density has no use in this problem. You could start by finding out how much current would be enclosed by that loop if it were complete.
     
  4. Mar 27, 2013 #3
    Complete as in having a circle having radius d?
     
  5. Mar 27, 2013 #4
    Yes that is the loop that I meant. Once you get that, what would be the symmetry of the magnetic field along it? how could you exploit it to get the desired result?

    Sorry for replying late. There was apparently some internal server error on PF and I couldn't log in early.:redface:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted