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

Options

A. `(3q)/(epsilon_(0))`
B. `(2q)/(epsilon_(0))`
C. `(q)/(epsilon_(0))`
D. Zero

Answer

d

Explanation

According to Gauss's theorem the electric flux through any closed surface is equal to `1//epsilon_(0)` times the net charge `q` enclosed by the surface, that is
`phi_(E) = ointvec(E).d vec(A) = (q)/(epsilon_(0))`
Since total charge enclosed by surface is zero
`:.` Total electric flux `phi=0`