Homework Help: Physical interpretation of circulation

1. Aug 17, 2009

foxjwill

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. Aug 17, 2009

kuruman

Can you explain what you mean by circulation?

3. Aug 19, 2009

foxjwill

The circulation of a vector field F about a closed path C is defined as $$\oint_C \vec{F}\cdot d\vec{\ell}.$$

4. Aug 19, 2009

djeitnstine

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. $$Lim_{A\rightarrow \infty} \frac{1}{A}\oint_C \vec{F}\cdot d\vec{\ell}= \vec{\nabla} \times {F}$$

5. Aug 19, 2009

kyiydnlm

foxjwill, you are right, but over any duration of time.