Question

The mathematical statement regarding Divergence theorem which is true:

• A. \(\oint_S \vec A.ds= \int_V \lgroup \vec\nabla \times \vec A\rgroup dv\)
• B. \(\oint_S \vec A.ds= \int_V \lgroup \vec\nabla . \vec A\rgroup dv\)
• C. \(\int_l \vec A.ds= \oint_V \lgroup \vec\nabla \times \vec A\rgroup .ds\)
• D. \(\oint_V A.ds= \int_V \lgroup \vec\nabla . \vec A\rgroup ds\)

Answer 1

The Correct Option is B

The correct option is (B): \(\oint_S \vec A.ds= \int_V \lgroup \vec\nabla . \vec A\rgroup dv\)