Figure shown below is a distribution of charges. The flux of electric field due to these charges through the surface S is

Options

A. `3q//epsi_0`
B. `2q//epsi_0`
C. `q//epsi_0`
D. zero

Answer

D

Explanation

According to Gauss's law , the total electric flux through a closed surface is given by
`phi\=undersetsointvecE.dvecs=Q/epsi_0`
where Q is the total charge enclosed by the surface. The total charge enclosed by the surface is
Q=+q - q = 0 . `therefore " total flux " phi=0.`