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A cubical region of side a has its centr...

A cubical region of side a has its centre 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 options(s)

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`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
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.
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