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Homework Help: Evaluating a Line integral in spherical polar coordinates

  1. Mar 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Consider the vector potential
    A = cr * [(sin theta)^2 * (cos fi) * (sin fi) + (cos theta)^2 ) er
    + (sin theta) cos (theta) * [(sin fi) (cos fi)  − 1] e theta
    + {(sin theta) (cosfi)^2 } efi

    er: in the er direction
    e theta: in the e theta direction
    e fi: in the e fi direction

    A is given in spherical polar coordinates.

    Calculate the line integral A dot dl with closed curve C, where C is the circle parametrised by fi, at some arbitrary values of (r, theta)

    Please help, I really can't do this line integral.
    It would also be nice to see a full solution!!

    Can anyone please also tell me what's the general trick of tackling problems with line integral?

    Many thanks guys!!!

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 20, 2009 #2


    User Avatar
    Homework Helper
    Gold Member

    We don't provide full solutions;it's against forum policy!

    Make an attempt, post your work and we'll help you through it.:smile:

    As a hint, a good starting point is to find an expression for dl (after all, you are going to have a heck of a time integrating A.dl if you don't know what dl is! :wink:)....
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