Multiple choice

If a vector field $\vec V$is related to another vector field $\vec A$through $\vec V$= $\nabla$x $\vec A$, which of the following is true? (Note : C and Sc refer to any closed contour and any surface whose boundary is C.)

  1. $\oint_0 \vec V. \vec{dl} = \int_z \int \vec A. \vec d S$
  2. $\oint_0 \vec A. \vec{dl} = \int_z \int \vec V. \vec d S$
  3. $\oint_0 \vec V. \vec{dl} = \int_z \int \Delta x \vec A. \vec d S$
  4. $\oint_0 \Delta x \vec V. \vec{dl} = \int_z \int \vec V. \vec d S$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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