A cubical region of side a has its center at the origin. It encloses three fixed point charges, `-q at (0, -a//4, 0), +3q at (0,0,0), and -q at (0, +a//4, 0).` Choose the correct option (s)

Options

A. The net electric flux crossing the plane x = + a/2 is equal to the net electric flux crossing the plane x = a/2
B. The net electric flux crossing the plane y = + a/2 is more that the net electric flux crossing the plane y = -a/2
C. The net electric flux crossing the entire region is `q// epsi_(0)`
D. The net electric flux crossing tha plane `z = +a//2` is equal to the net electric flux crossing the plane ` x= + a//2`

Answer

A, C, D

Explanation

Option (A) is correct due to symmetry. Option (B) is incorrect due to symmetry.
Option (C) is correct because as per Gauss’ theorem, net electric flux passing through any closed surface `=(q_("in"))/(epsi_(0))`
Here, `q_("in")=3q-q-q=qtherefore` Net electric flux `=q/_(epsi_(0))`
Option (D) is correct due to symmetry.