JacobNielsen
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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.<br /> <br /> Where do I make a mistake?<br /> <br /> Thank you in advance.[/itex][/itex]
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.<br /> <br /> Where do I make a mistake?<br /> <br /> Thank you in advance.[/itex][/itex]