In a charge-free region of space, a closed container is placed in an electric field. Which of the following is a requirement for the total electric flux through the surface of the container to be zero? (hw 2a.6)
A. The container must be oriented in a certain way.
B. The field must be uniform.
C. The container must be symmetric.
D. The requirement does not exist -the total electric flux is zero no matter what.

D. The requirement does not exist -the total electric flux is zero no matter what.

Explanation:

According to Gauss's law , total electric flux over a closed surface is equal to 1 / ε₀ times charge inside.

If charge inside is zero , total electric flux over a closed surface is equal to

zero . It has nothing to do with whether external field is uniform or not. For any external field , lines entering surface will be equal to flux going out.

b. a lightning bug, plug of grass, and a worm