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Homework Help: Curl of a vector

  1. Jun 13, 2012 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
    Suppose we begin with F which is a force..

    Does taking the curl of a force such as

    [tex]\nabla \times F[/tex]

    state that this expression no longer has dimensions of force? What I mean is, does the nabla operator have dimensions, and so would this change the dimensions of the expression?
  2. jcsd
  3. Jun 13, 2012 #2


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    Science Advisor
    Gold Member

    1) You can only take the curl of a vector field, not of a single vector.

    2) The curl is basically a spatial derivative and so will bring down a 1/length unit. The curl of a force field is then in units of force/length.
  4. Jun 13, 2012 #3
    Thank you.
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