The total flux through the faces of the cube with side of length a if a charge q is placed at corner A of the cube is

Options

A. `(2q)/(in_(0))`
B. `(q)/(8in_(0))`
C. `(q)/(in_(0))`
D. `(2q)/(2in_(0)) 6a^(2)`

Answer

B

Explanation

In Fig
we have shown a point charge `q` at one corner of a cube of side `a`. This charge can be imagined at the centre of eight identical cubes as shwon in Fig.
According to Gauss's theroem in electrostatics, electric flux through the given cube.
`phi = (1)/(8) ((q)/(in_(0))) = (q)/(8 in_(0))`