Five charges $+q,+5 q,-2 q,+3 q$ and $-4 q$ are situated as shown in the figure. The electric flux due to…
Five charges $+q,+5 q,-2 q,+3 q$ and $-4 q$ are situated as shown in the figure. The electric flux due to this configuration through the surface $S$ is :
$\frac{4 q}{\epsilon_0}$
$\frac{5 q}{\epsilon_0}$
$\frac{q}{\epsilon_0}$
$\frac{3 q}{\epsilon_0}$
Solution
As per gauss theorem,
$\begin{aligned}& \phi=\frac{\mathrm{q}_{\text {in }}}{\epsilon_0}=\frac{\mathrm{q}+(-2 \mathrm{q})+5 \mathrm{q}}{\epsilon_0} \\
& \frac{4 \mathrm{q}}{\epsilon_0}\end{aligned}$
