Question

A charge q is enclosed in a cube at its geometrical centre. What is the electric flux associated with one of the faces of cube:

• A. $\frac{q}{{\epsilon }_0}$
• B. $\frac{{\epsilon }_0}{q}$
• C. $\frac{6q}{{\epsilon }_0}$
• D. $\frac{q}{6{\epsilon }_0}$

Answer 1

The correct option is D $\frac{q}{6{\epsilon }_0}$

total flux is given by $\frac{q}{e_o}$ ( gauss law )
Total flux associated with six faces =$\frac{q}{e_o}$
Now as q is symmetarial to all faces flux associated with one face $=\frac{q}{6e_o}$