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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 theoremI have been asked this question during a job interview.This question is from Stokes Theorem topic in portion Vector Calculus of Electromagnetic Theory

Answer»

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.



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