A vector field is given as
\(F(x, y) = (100x + 100y) i + (−50x + 200y) j\), where
\(i\) and
\(j\) are the unit vectors along the
\(x\) and
\(y\) axes in the Cartesian frame, respectively. Then the value of
\(∮F(x, y). dl\)where
\(dl = dx i + dy j\) is an elemental path taken over an anticlockwise circular contour
\(C\) of radius
\(r = 2\) is
