Question

Which theorem relates the line integral of a vector field over a closed curve to the surface integral of the curl of the field over the surface bounded by the curve?

• A. Stokes's theorem
• B. Gauss's theorem
• C. Green's theorem
• D. Divergence theorem

Hint:

Stokes's theorem connects the circulation of a vector field along a curve to the curl of the field over the surface enclosed by the curve.

Answer 1

The Correct Option is A

Stokes's theorem relates the line integral of a vector field over a closed curve to the surface integral of the curl of the field over the surface bounded by the curve. This theorem is fundamental in vector calculus and is used in various fields such as electromagnetism.