A charge Q is situated at the corner of a cube the electric flux passed through all the six faces of the cube is :

Options

A. `(q)/(epsilon_(0))`
B. `(q)/(3epsilon_(0))`
C. `(q)/(6epsilon_(0))`
D. `(q)/(8epsilon_(0))`

Answer

D

Explanation

Since, q is the charge enclosed by the surface, then the electric flux, `phi=(q)/(epsilon_(0))`.
If charge q is placed at a corner of cube, it will be divided into 8 such cubes. Therefore, electric flux trough live cube is
`phi'=(1)/(8)((q)/(epsilon_(0)))`