Question

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 : 

(1) \( \frac{5 \mathrm{q}}{\epsilon_{0}}\)

(2) \(\frac{4 q}{\epsilon_{0}}\)

(3) \(\frac{3 q}{\epsilon_{0}}\)

(4) \(\frac{q}{\epsilon_{0}}\)  

Answer 1

Correct option is :  (2) \(\frac{4 q}{\epsilon_{0}}\)   

\(\operatorname{Flux}\ (\phi)=\frac{\mathrm{q}_{\text {enc. }}}{\epsilon_{\mathrm{o}}} \) 

\(=\frac{(+5 \mathrm{q}+\mathrm{q}-2 \mathrm{q})}{\epsilon_{\mathrm{o}}}\) 

\( =\frac{4 \mathrm{q}}{\epsilon_{\mathrm{o}}}\)