Question

Which of the following theorem convert line integral to surface integral?

(a) Gauss divergence and Stoke’s theorem

(b) Stoke’s theorem only

(c) Green’ s theorem only

(d) Stoke’s and Green’s theorem

I have been asked this question during a job interview.

This question is from Stokes Theorem topic in portion Vector Calculus of Electromagnetic Theory

Answer 1

Correct option is (d) Stoke’s and Green’s theorem

The best explanation: The Stoke’s theorem is given by ∫A.dl = ∫∫ Curl (A).ds. Green’s theorem is given by, ∫ F dx + G dy = ∫∫ (dG/dx – dF/dy) dx dy. It is clear that both the theorems convert line to surface integral.