Question

In the x-y plane, a vector is given by
$\overrightarrow𝐹 (𝑥, 𝑦) = \frac{−𝑦𝑥̂ + 𝑥𝑦̂}{𝑥^ 2 + 𝑦^2} .$
The magnitude of the flux of $\overrightarrow∇ ×\overrightarrow 𝐹$ , through a circular loop of radius 2, centered at the origin, is:

• A. π
• B. 2π
• C. 4π
• D. 0

Answer 1

Answer: (B)

2π

Answer 2

The correct option is (B): 2π