Question

The diagram shows a spherical Gaussian surface centered at the origin of an xyz-coordinate system. The radius of the sphere is $R$. A uniform electric field $E$ directed in the $+y$-direction exists in this region of space.
Which of the following expresses the net electric flux passing through the spherical surface?

• A. $zero$
• B. $E.\frac{1}{2}\pi r^2$
• C. $E.\pi r^2$
• D. $E.2\pi r^2$
• E. $E.4\pi r^2$

Answer 1

The correct option is A $zero$

The net flux entering the sphere from one face of the sphere about x-z plane is equal to the net flux exiting the sphere from the opposite face.
Hence the net flux passing through the spherical surface is zero.