ElectrostaticsHard

Question

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)
                         

Options

A.The net electric flux crossing the plane y = + a/2 is more than the net electric flux crossing the plane y =- a/2.
B.The net electric flux crossing the plane x = + a/2 is equal to the net electric flux crossing the plane x =- a/2
C.The net electric flux crossing the entire region is
D.The net electric flux crossing the plane z = + a/2 is equal to the net electric flux crossing the plane x =+ a/2.

Solution

Net flux through the cubical region =
The flux passing through the faces x = , x = + and z = + are same due to symmetry.

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