A cubical region of side a has its centre at the origin. It encloses three fixed point charges, –q at \left(\right. 0 , \textrm{ } - \frac{a}{4} , \textrm{ } 0 \left.\right) , + 3q at (0, 0, 0) and – q at \left(\right. 0 , \textrm{ } + \frac{a}{4} , \textrm{ } 0 \left.\right). Choose the correct option(s).

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Question

A cubical region of side a has its centre at the origin. It encloses three fixed point charges, –q at $(0, - \frac{a}{4}, 0)$ , + 3q at (0, 0, 0) and – q at $(0, + \frac{a}{4}, 0)$ . Choose the correct option(s).

The net electric flux crossing the plane $z = + \frac{a}{2}$ is equal to the net electric flux crossing the plane $x = + \frac{a}{2}$

The net electric flux crossing the plane $x = + \frac{a}{2}$ is equal to the net electric flux crossing the plane $x = - \frac{a}{2}$

The net electric flux crossing the plane $y = + \frac{a}{2}$ is more than the net electric flux crossing the plane $y = - \frac{a}{2}$

The net electric flux crossing the entire region is $\frac{q}{ε_{0}}$

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$ϕ$ = charge enclosed / $ε$ ₀

A and D because of symmetry.

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