Four closed surfaces \(S_1, S_2, S_3\) and \(S_4\) together with charges \(+q,-q\) and \(-2 q\) are shown.…
Four closed surfaces \(S_1, S_2, S_3\) and \(S_4\) together with charges \(+q,-q\) and \(-2 q\) are shown. Through which one of the surfaces the net flux is zero?
\(S_1\)
\(S_2\)
\(S_3\)
\(S_4\)
Solution
According to given diagram, net charge enclosed through the surface \(S_2\) is zero. Hence, according to Gauss's law, Net flux through surface,
\(\begin{aligned}
S_2 & =\frac{\text { Charge inclosed }}{\varepsilon_0} \\
& =\frac{0}{\varepsilon_0}=0
\end{aligned}\)