Find the outward flux of F over where Q is bounded by and , and .
A) 0

Question

Find the outward flux of F over  where Q is bounded by  and  , and  .
A) 0

Quizplus · Accepted Answer

The outward flux of F over any closed surface is zero if the divergence of F is zero throughout the region enclosed by the surface (by the Divergence Theorem), which is the case for this problem since Q is a simply connected region and the divergence of F is zero everywhere in Q. Therefore, the outward flux of F over the boundary of Q (which is the given surface) is also zero, which corresponds to choice A.

Find the Outward Flux of F Over Where Q