Whitney says that Gauss's Law can be used to find the electric field of a sufficiently symmetrical distribution of charge as long as

\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0

over the whole Gaussian surface.Algie says that the electric field must be a constant vector over the entire Gaussian surface.Which one,if either,is correct?
A)Whitney,because that means no charge is enclosed within the Gaussian surface.
B)Algie,because a constant electric field means that

\oint \overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0

.
C)Both,because the conditions in (a)and (b)are equivalent.
D)Neither,because the electric field can be found from Gauss's law only if

\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0

holds only over a portion of the Gaussian surface.
E)Neither,because the charge distribution must be symmetric if

\overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } } = 0

anywhere on the surface.

A +20-NC Point Charge Is Placed at One Corner of a a Square

Multiple Choice

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