Question

A point charge of $2.0\,µC$ 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

Net electric flux $( Φ_{Net})$ through the cubic surface is given by
$Φ_{Net} = \frac{q}{ε_0}$
Where,
$ε_0$ = Permittivity of free space $= 8.854 × 10^{−12} N^{−1}C^2 m^{−2}$
$q =$ Net charge contained inside the cube $= 2.0\,µC = 2 × 10^{−6} C$
$Φ_{Net} = \frac{2 × 10^{ -6}}{ 8.854 × 10 ^{-12}}$
$= 2.26 × 10^5 N m^2 C^{−1}$
The net electric flux through the surface is$= 2.26 × 10^5 N m^2 C^{−1}.$