# Electric Flux (Gauss Law) Calculator

The will calculate the electric flux produced by electric field lines flowing through a closed surface:

1. When electric field is given
2. When the charge is given
 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 Magnitude of electric field (|E|) V/m Surface areaNote 1 (|A|) m2 Angle between electric field lines and the area vector (θ) ° Electric charge (Q) C Electric constant or vacuum permittivity (ϵ0) C2/N∙m2 × 10 power of
Electric flux calculations for inward flux The electric flux (inward flux) through a closed surface when electric field is given is V ∙ m [Volt times metre] The electric flux (outward flux) through a closed surface when electric field is given is V ∙ m [Volt times metre] The electric flux through a closed surface when the charge is given using the Gauss Law is Φ = |E⃗ | × |A⃗ | × cos(180 - θ)Φ = | × × cos(180 - )Φ = | × × cos()Φ = | × × cos()Φ = Φ = |E⃗ | × |A⃗ | × cosθΦ = × × cos()Φ = × × Φ = Φ = Q/ϵ0 Φ = /Φ = Magnitude of electric field (|E|) V/m [Volt per metre] Surface areaNote 1 (|A|) m2 [square metres] Angle between electric field lines and the area vector (θ) ° [degrees] Electric charge (Q) C [Coulombs] Electric constant or vacuum permittivity (ϵ0) C2/N∙m2

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each electric flux calculation, the Electric Flux Calculator will automatically calculate the results and update the Physics formula elements with each element of the electric flux calculation. You can then email or print this electric flux calculation as required for later use.

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Section 1: Units and Measurements

Section 15: Electrodynamics

## Electric flux calculations (inward flux) Formula and Calculation

Φ = |E | × |A | × cos(180 - θ)

## Electric flux (outward flux) Formula and Calculation

Φ = |E | × |A | × cosθ

Φ = Q/ϵ0

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