If a vector field $\to V$ is related to another field $¯ A$ through $\to V$ = $\nabla \times ¯ A$ , which of the following is true?

Note: C and $S_{c}$ refer to any closed contour and any surface whose boundary is C.

\oint_{c} \to V . d l = \iint_{S_{c}} \to A . \to d s

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\oint_{c} \to A . d l = \iint_{S_{c}} \to V . \to d s

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\oint_{c} \nabla . \to V . d \to l = \iint_{S_{c}} \nabla . \to A . \to d s

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\oint_{c} \nabla . \to A . d \to l = \iint_{S_{c}} \to V . \to d s

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Solution

The correct option is B $\oint_{c} \to A . d l = \iint_{S_{c}} \to V . \to d s$
It is the statement of stokes theorem.

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