\[\Phi_E=\frac{q}{\varepsilon_0}\]
Variables
PhiEelectric flux (N*m^2/C)
qenclosed electric charge (C)
epsilon0vacuum permittivity (F/m)
Description
What is this formula?
This formula calculates the total electric flux through a closed surface using Gauss law.
When to use it
Use it when analyzing symmetric electric fields and enclosed electric charges in electrostatics problems.
Example
Data:
q = 5e-6 C
epsilon0 = 8.854e-12 F/m
Formula:
PhiE = q/epsilon0
Substitution:
PhiE = (5e-6)/(8.854e-12)
Result:
PhiE = 5.65e5 N*m^2/C
Applications
Electrostatics, electric field analysis, capacitor theory, electromagnetic theory, and electrical engineering.