Question

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

Answer 1

Let us consider a charge q is placed at the centre of a cubic Gaussian surface. As per the question, $q=2\mu C=2\times {10}^{-6}C$
Length of edge=9cm
According to Gauss's theorem, the net electric flux ( \phi ) through the surface is
$\varphi =\frac{q}{{\epsilon }_0}=\frac{2\times {10}^{-6}}{8.854\times {10}^{-12}}=2.26\times {10}^{5}N-m^2/C$
Thus, the net electric flux through the surface is $2.26\times {10}^{5}N-m^2/C$