# Stoke's theorem

1. Jan 14, 2005

Hi ive got this question that ive been stuck on a while now.. im sure its really obvious but i cant see to get it:
Q: with the help of stokes's theorem, show that F(r) is conservative provided that nabla X F = 0.
nabla X F is the same as curl F?
Cheers.

2. Jan 14, 2005

### Galileo

$curl F$ is sometimes written as $rot F$ or $\nabla \times F$. It's the same thing.

You either have to show that $\int F \cdot dr$ is independent of path,
or that F(r) can be written as the gradient of a function. (Depending on your definition).

Hint: Independance of path is the same is $\oint F \cdot dr=0$ for any closed path.

Last edited: Jan 14, 2005