Electric flux is the rate of flow of the electric field through a given area (see ). Electric flux is proportional to the number of electric field lines going through a virtual surface. Mathematically can be described as,
[tex]\phi = \frac{q_{in}}{\epsilon_0}[/tex]
Here,
q = Charge of the surface
[tex]\epsilon_0[/tex] = permittivity of free space constant
The surface charge is equivalent to the sum of the charges presented, therefore replacing,
[tex]\phi= \frac{q_1+q_2+q_3}{\epsilon_0}[/tex]
[tex]\phi = \frac{3.2+6.7+(3.8)}{8.85*10^{-12}}[/tex]
[tex]\phi = 1.548*10^{12}N\cdot m^2/C[/tex]
Therefore the electric flux thorugh this surface is [tex]1.548*10^{12}N\cdot m^2/C[/tex]
