Question

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

• A. \(-100\pi\)
• B. \(-800\pi\)
• C. \(-400\pi\)
• D. \(400\pi\)

Answer 1

The Correct Option is B

The correct option is (B): \(-800\pi\).