Question

A charge Q the electric flux passed through all the six faces of the cube is :

Answer 1

Let the charge is located at origin and the corner of the cube also at origin.

Using Gauss's law and symmetrical argument:

now if we place 7 more cubes around original cube. Each face of this new cube contains 4 faces of original.

The new big cube has 6 faces placed symmetrically around origin, total= 24 faces.

now the total flux according to Gauss's law is q/ε₀.

therefore,  flux through each face is q/24 ε₀.

Answer 2

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• Let the charge is located at origin and the corner of the cube also at origin.
• Using Gauss's law and symmetrical argument:
• now if we place 7 more cubes around original cube. Each face of this new cube contains 4 faces of original.
• The new big cube has 6 faces placed symmetrically around origin, total= 24 faces.
• now the total flux according to Gauss's law is q/ε₀.
• therefore,  flux through each face is q/24 ε₀.