Electricity & Magnetism
Electric Flux
Electric flux through a surface.
Variables
ΦEV·m
Electric flux
Flux through surface
In SI units: kg·m³/(A·s³)
EN/C
Electric field
Field strength
In SI units: kg·m/(A·s³)
Am²
Area
Surface area
Allowed values: greater than 0
θ°
Angle
Between E and normal
In SI units: rad
Derivation
Φ = ∫E·dA. For uniform field: Φ = EA cos θ.
Your notes
0/5000
Check value
Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- E = 2 N/C (Electric field)
- A = 3 m² (Area)
- θ = 4 ° (Angle)
Result: ΦE = 5.9853843 V·m
Other electricity & magnetism formulas with the same quantities
- Electric Dipole Field (Axial) (Electrostatics) shares Electric field
- Energy Density (Electric Field) (Capacitance) shares Electric field
Where this formula is listed
- Electricity & Magnetism formulas, under Electrostatics, alongside Coulomb's Law, Electric Potential, Electric Potential Energy, Uniform Electric Field and Electric Dipole Moment.
- In the electricity & magnetism list it comes after Electric Dipole Field (Axial) and before Ohm's Law.
- Electricity & Magnetism formula sheet, one of 48 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
Common questions
What is the Electric Flux formula?
Electric Flux is written Φ_E = EA cos θ. Electric flux through a surface. It belongs to Electricity & Magnetism, under Electrostatics.
What are the units in Φ_E = EA cos θ?
In SI units, Φ_E is electric flux, measured in kg·m³/(A·s³); E is electric field, measured in kg·m/(A·s³); A is area, measured in m²; θ is angle, measured in rad.
How is the Electric Flux formula derived?
Φ = ∫E·dA. For uniform field: Φ = EA cos θ. The result is Φ_E = EA cos θ.