# Find the flux of the field F across the curve c

• Dec 5th 2010, 10:53 PM
downthesun01
Find the flux of the field F across the curve c
$F=yi+xj$, c is the circle $(x-5)^{2} +(y+1)^{2}=9$

I guess the problem I'm having is parameterizing the function of the circle. Any help would be appreciated. Thanks

EDIT: Maybe parameterizing isn't the correct term. I'm looking to make the equation of the circle look something like $r(t)=cos(t)i +sin(t)j$ or something. From this point, I'm pretty sure I can work the rest of the problem.
• Dec 5th 2010, 11:20 PM
FernandoRevilla
Quote:

Originally Posted by downthesun01
EDIT: Maybe parameterizing isn't the correct term. I'm looking to make the equation of the circle look something like $r(t)=cos(t)i +sin(t)j$ or something. From this point, I'm pretty sure I can work the rest of the problem.

It is:

$r(t)=(5+3\cos t)i +(-1+3\sin t)j\quad (t\in [0,2\pi])$

Regards.

Fernando Revilla
• Dec 5th 2010, 11:41 PM
downthesun01
Thanks much. Let me see if I can work the rest of the problem now.