Consider a vector field A^{\to} (r^{\to}). The closed loop line integral ∮ A^{\to} \cdot dl^{\to} can be expressed as

Correct Answer is : iint(∇→×A→).ds→. over the open surface bounded by the loop.

∯_{s} (∇^{\to} \times A^{\to}) \cdot ds^{\to} over the closed surface bounded by the loop.

∰ (∇^{\to} \cdot A^{\to}) dv over the closed volume bounded by the loop.

\iiint (∇^{\to} \cdot A^{\to}) dv over the open volume bounded by the loop.

\iint (∇^{\to} \times A^{\to}) .ds^{\to}. over the open surface bounded by the loop.

GATE Electronics and Communications (EC) 2013 Solved Paper

Question : 12 of 65

Marks: +1, -0

Consider a vector field

A↖{→} (r↖{→})

. The closed loop line integral

∮ A↖{→} ⋅ dl↖{→}

can be expressed as

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