Question

A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is: _________.

i. q/E0
ii. q/E4Ï€E0
iii. q/4E0
iv. q/6E0
v. q/16E0

Answer 1

iv. q/6E0

Explanation:

Electric flux formula:

The electic flux formula, of a charge q is given by, through an entire cube, is given by:

`E = (q)/(E_o)`

In which
`E_o` is a constant related to the material.

The electric flux through any one face of the cube is:

Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

`E_f = (1)/(6) * (q)/(E_o) = (q)/(6E_o)`

And the correct answer is given by option iv.