What is the flux through a cube of side a, if a point charge of q is at one of its corners?

Concept:

Electric flux (ϕ): The number of electric field lines passing through a surface area normally is called electric flux. It is denoted by Φ.

The electric flux through a chosen surface is given by:

Where θ is the angle between the electrical field and the positive normal to the surface.

Gauss’s Law: It states that the net electric field through a closed surface equals the net charge enclosed by the surface divided by ϵ0.

Where E = electric field, ds = small area, qinside = the total charge inside the surface, and ϵ0 = the permittivity of free space.

Calculation:

According to the question, the charge is placed on one of the corners of a cube, and to cover up a charged particle fully we need 8 cubes.

Therefore the electric flux passing through the given cube is