A point charge q is placed at the corner of a cube with side l find flux through entire surface and flux through each face

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Giaj5sf · Accepted Answer

The total flux from a charge q is   q      /        ϵ    0   (Gauss&#039;s law). Some of the flux enters and exits the cube through some of its faces if the charge is on the cube&#039;s corner. However, some of the flux escapes the cube.  Consider that each of the eight hypothetical cubes has the charge on a corner that is in the very center of the cube. An equal amount of flux will spread outwards through each of the cubes (symmetry)  Since the flux is shared between 8 cubes, the flux through each is   (  1      /    8  )  q      /        ϵ    0   [entire surface] Now flux(1/8th) will pass through three of the faces of (smaller)cube and three faces wont have any effect(the ones from which the cube passes)  This 1/8th will be divided into 3 parts again.  so the total will be   (  1      /    24  )  q      /        ϵ    0   from each face

a point charge q is placed at the corner of a cube with side l find flux through entire surface and flux through each face

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