Question

Find the value of Green’s theorem for F = x^2 and G = y^2 is

(a) 0

(b) 1

(c) 2

(d) 3

This question was addressed to me by my college director while I was bunking the class.

My question is based upon Green’s Theorem topic in chapter Vector Calculus of Electromagnetic Theory

Answer 1

Right option is (a) 0

The best I can explain: ∫∫(dG/dx – dF/dy)dx dy = ∫∫(0 – 0)dx dy = 0. The value of Green’s theorem gives zero for the functions given.