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Homework Help: Physical interpretation of circulation

  1. Aug 17, 2009 #1
    Can the circulation about some closed (rigid) path in a force field be interpreted as the work done by the force field on the path over an infinitesimal time?
  2. jcsd
  3. Aug 17, 2009 #2


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    Can you explain what you mean by circulation?
  4. Aug 19, 2009 #3
    The circulation of a vector field F about a closed path C is defined as [tex]\oint_C \vec{F}\cdot d\vec{\ell}.[/tex]
  5. Aug 19, 2009 #4


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    The integral along a closed path can be related directly to the curl of a field. In a flow field this can be seen as the rotatation of a flow. [tex]Lim_{A\rightarrow \infty} \frac{1}{A}\oint_C \vec{F}\cdot d\vec{\ell}= \vec{\nabla} \times {F} [/tex]
  6. Aug 19, 2009 #5
    foxjwill, you are right, but over any duration of time.
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