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Which among the following theorems uses the curl operation?
- a)Green's theorem
- b)Stokes theorem
- c)Gauss Divergence theorem
- d)Maxwell equation
Correct answer is option 'B'. Can you explain this answer?
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Which among the following theorems uses the curl operation?a)Greens th...
Concept:
1. The curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional space.
2. The curl of a scalar field is undefined. It is defined only for 3D vector fields.
3. For a vector F = F1i + F2j + F3k
Stokes theorem:
(i) Stoke's theorem enables us to transform the surface integral of the curl of the vector field A into the line integral of that vector field A over the boundary C of that surface and vice-versa. The theorem states.
(ii) The flux of the curl of a vector function A over any surface S of any shape is equal to the line integral of the vector field A over the boundary C of that surface i.e.
Stokes Theorem is given as:
It converts a line integral to a surface integral and uses the curl operation.
Hence Stokes theorem uses the curl operation.
So option (2) is the correct answer.
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Which among the following theorems uses the curl operation?a)Greens theoremb)Stokes theoremc)Gauss Divergence theoremd)Maxwell equationCorrect answer is option 'B'. Can you explain this answer?
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