Question

A point charge of $2.0\mu C$ is at the centre of a cubic Gaussian surface $9.0cm$ on edge. What is the net electric flux through the surface?

Answer 1

Net electric flux $\left({\varphi }_{Net}\right)$ through cubic surface is,

${\varphi }_{Net}=\frac{q}{{\in }_0}$

${\in }_0$ $=8.854\times {10}^{-12}{N}^{-1}{C}^2{m}^{-2}$

q = Net charge contained inside the cube $=2.0\mu C=2\times {10}^{-6}$

$\therefore {\varphi }_{Net}=\frac{2\times {10}^{-6}}{8.854\times {10}^{-12}}$

$=2.26\times {10}^{5}N{m}^2{C}^{-1}$

The net electric flux through the surface is $2.26\times {10}^{5}N{m}^2{C}^{-1}$.