Question

Shown above is a distribution of charges. The flux of electric field due to these charges through the surface $S$ is :

• A. $3q/{\epsilon }_0$
• B. $2q/{\epsilon }_0$
• C. $q/{\epsilon }_0$
• D. $zero$

Answer 1

The correct option is D $zero$

Total charge enclosed by surface S is $Q_{en}=+q-q=0$

Applying Gauss's law , the electric flux through S is $\varphi =\frac{Q_{en}}{{ϵ}_0}=0$