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Q.

A cubical region of side ‘a’ has its centre at the origin. It encloses three fixed point charges of charge -q at (0,a4,0),+3q at (0,0,0) and q at (0,+a4,0).  Choose the correct options(s).

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a

The net electric flux crossing the plane x=+a2 is equal to the net electric flux crossing the plane x=-a2

b

The net electric flux crossing the plane y=+a2 is more than the net electric flux crossing the plane y=-a2

c

The net electric flux passing through the given cube is qε0

d

The net electric flux crossing the plane z=+a2 is equal to the net electric flux crossing the plane x=+a2

answer is A.

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Detailed Solution

Total flux through the cube : ϕT=qinclosedεo=-q+3q-qεo=qεo

flux through each side of the cube: ϕside=q6εo

since, planes x=+a2, x=-a2 are two planes containing two opposite faces of the cube, flux through the planes will be same.

similarly, for all the infinitely long planes containing the faces of the cubes , the flux passing through them will be same.

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