Solve the problem.
-Find the outward flux of a constant vector field F = C across any closed surface to which the Divergence Theorem applies.
A) Not enough information to determine
B) 1
C) 0
D) $| \mathbf { F } |$

Question

Solve the problem.
-Find the outward flux of a constant vector field F = C across any closed surface to which the Divergence Theorem applies. 
A) Not enough information to determine
B) 1
C) 0
D) $| \mathbf { F } |$

Quizplus · Accepted Answer

The Divergence Theorem states that the outward flux of a vector field across a closed surface is equal to the integral of the divergence of the field over the volume enclosed by the surface. For a constant vector field, the divergence is zero, hence the outward flux is also zero.

Solve the Problem ∣F∣| \mathbf { F } |∣F∣

Solve the Problem $| \mathbf { F } |$