Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Which of the following is correct?a)Green&rsq...
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Which of the following is correct?
- a)Green’s theorem is a particular case of Stokes theorem
- b)Stokes’ theorem is a particular case of Green’s theorem
- c)Both Stokes’ theorem and Green’s theorem are same
- d)None of the above
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Which of the following is correct?a)Green’s theorem is a particu...
Green's theorem:
It gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C.
Let R be a closed bounded region in the xy plane whose boundary C consists of finitely many smooth curves.
Let F1(x, y) & F2(x, y) be functions that are continuous and have continuous partial derivatives:
thenAccording to Green’s theorem
Stoke's theorem:
Stokes’s theorem: It states that the circulation of a vector field 
around a (closed) path L is
around a (closed) path L isequal to the surface integral of the curl of 
over the open surface S bounded by L
over the open surface S bounded by L provided and ∇× 
are continuous on S.
are continuous on S.
Green's theorem is the two-dimensional special case of Stokes' theorem.
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Community Answer
Which of the following is correct?a)Green’s theorem is a particu...
Green's theorem:
It gives the relationship between a line integral around a simple closed curve C and a double integral over the plane region D bounded by C.
Let R be a closed bounded region in the xy plane whose boundary C consists of finitely many smooth curves.
Let F1(x, y) & F2(x, y) be functions that are continuous and have continuous partial derivatives:
thenAccording to Green’s theorem
Stoke's theorem:
Stokes’s theorem: It states that the circulation of a vector field around a (closed) path L is
around a (closed) path L isequal to the surface integral of the curl of over the open surface S bounded by L
over the open surface S bounded by L provided and ∇× are continuous on S.
are continuous on S.Green's theorem is the two-dimensional special case of Stokes' theorem.
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