Question

Which of the following theorem use the curl operation?

(a) Green’s theorem

(b) Gauss Divergence theorem

(c) Stoke’s theorem

(d) Maxwell equation

This question was addressed to me in exam.

The above asked question is from Vector Calculus topic in division Vector Calculus of Electromagnetic Theory

Answer 1

Correct choice is (c) Stoke’s theorem

The explanation: The Stoke’s theorem is given by ∫ A.dl = ∫Curl(A).ds, which uses the curl operation. There can be confusion with Maxwell equation also, but it uses curl in electromagnetics specifically, whereas the Stoke’s theorem uses it in a generalised manner. Thus the best option is Stoke’s theorem.