A point charge q is placed at the corner of a cube
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the charge is placed at the corner of the cube.
Now let us add 7 more similar cubes to this cube to make it a larger cube
now this larger cube is composed of 8 cubes with the charge q at its center.
Net flux=Φ
Φ=q/ε
Φ is for 8 cubes
therefore flux for single cube is
Φ'=Φ/8
=q/8ε
now Φ' is for a single cube.
Therefore flux for a side of the cube will be
Φ'/3 (as only through 3 sides the flux passes)
=Φ/24
=q/24ε
hope this helps.
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