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Line Integrals

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

    don't know the line integral latex code but;

    [itex]\int[/itex][itex]\underline{r}[/itex][itex]\times[/itex]d[itex]\underline{r}[/itex]

    from (a,0,0) to (a,0,2∏b) on the circular helix [itex]\underline{r}[/itex] = (acos(λ), asin(λ), bλ)

    3. The attempt at a solution

    Its the multiple use of the position vector r in the question thats confusing me. So far i've tried paramaterising the original integral as (r cross dr/dλ)dλ with dr/dλ being the derivative of the circular helix however I am confused as to whether the r in the integral is the same as the one describing the helix.

    Am I on the right track or will i need to use another method?
     
  2. jcsd
  3. Mar 3, 2013 #2

    CAF123

    User Avatar
    Gold Member

    The r given to you is the parametric representation of the helix. It is easy to check that this is a suitable parametrisation.
     
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