- #1
JacobNielsen
- 2
- 0
I know that [itex]\oint_{C}\mathrm{d}\vec{l} = 0[/itex], for any closed curve C.
But when i try to calculate the integral around the unit circle in polar coordinates, I get a result different from zero.
Here is my approach : [itex]\oint_{C}\mathrm{d}\vec{l} = \int_{0}^{2\pi}\hat{\phi}\mathrm{d}\phi = 2\pi\hat{\phi} \neq 0[/itex]
Since the line element [itex]\mathrm{d}\vec{l}[itex] is pointing in the azimuthal direction.
Where do I make a mistake?
Thank you in advance.
But when i try to calculate the integral around the unit circle in polar coordinates, I get a result different from zero.
Here is my approach : [itex]\oint_{C}\mathrm{d}\vec{l} = \int_{0}^{2\pi}\hat{\phi}\mathrm{d}\phi = 2\pi\hat{\phi} \neq 0[/itex]
Since the line element [itex]\mathrm{d}\vec{l}[itex] is pointing in the azimuthal direction.
Where do I make a mistake?
Thank you in advance.