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B field inside conductor with assymetric cavity

  1. May 14, 2014 #1
    1. The problem statement, all variables and given/known data

    Infinite straight conductor, paralell with z axis, of radius R1 with a cylindrical cavity of radius R2. The axis of the cavity passes through the point <0,b,0>. A current I flows through the conductor. The current density is homogenous inside the cundoctor. Find the direction and magnitude of the B-field inside the cavity.

    2. Relevant equations

    3. The attempt at a solution

    I think we're supposed to use

    [itex]\oint \textbf{B} \cdot \textbf{dl} = \mu _0 I[/itex]

    Where we first do the outer line integral, and then subtract the inner line integral.

    1) Am I on to something?
    2) How do I do the inner line integral in the most convenient way?
  2. jcsd
  3. May 14, 2014 #2

    Simon Bridge

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