Teaching UP PGT Mock Test Series 2024 Electromagnetic Theory Vector Calculus Fundamental Theorems of Vector Calculus
In the x y plane, a vector is given by
\( \vec{F}(x, y)=\frac{-y \hat{x}+x \hat{y}}{x^2+y^2}\).
The magnitude of the flux of \( \vec{\nabla} \times \vec{F} \), through a circular loop of radius 2, centered at the origin, is:
1
π
2
2π
3
4π
4
0