# 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.