In the x-y plane, a vector is given by
\(\overrightarrowπΉ (π₯, π¦) = \frac{βπ¦π₯Μ + π₯π¦Μ}{π₯^ 2 + π¦^2} . \)
The magnitude of the flux of \(\overrightarrowβ Γ\overrightarrow πΉ\) , through a circular loop of radius 2, centered at the origin, is: