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Electric Flux calculator

Enter the required elements to calculate the total, inward, and outward flux enclosed in a closed surface using this calculator.

Magnitude of electric field (|E|) V/m:

Surface area (|A|) m²:

Vector (θ)°:

Picocoulomb (Q):

(ϵ₀) C²/N∙m²:

× 10 power of

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Electric Flux Calculator

This advanced electric flux calculator helps you calculate the electric flux produced by an electric charge. It considers surface area and the angle of the flux to compute the inward, outward, and total flux crossing a given surface.

What Is Electric Flux?

Electric flux represents the total number of electric field lines passing through a given surface area.

Electric Flux

You can calculate electric flux using Gauss’s Law, which is a fundamental principle for determining how much flux passes through a surface.

Gauss’s Law

Statement: “The total electric flux through a closed surface is directly proportional to the charge enclosed within it and inversely proportional to the permittivity of free space.”

Gauss’s Law Equation:

𝜙 = Q / ε₀

Where:

𝜙 = Total electric flux through the surface
Q = Total charge enclosed by the surface
ε₀ = Permittivity of free space, ε₀ = 8.85 × 10⁻¹² F/m

The total charge can also be calculated using: Total Charge = 𝜙 × ε₀

How To Calculate Electric Flux?

Example: Suppose the charge enclosed by a surface is Q = 1.05 × 10² C. What is the electric flux through the surface?

Solution:

Using Gauss’s Law:

𝜙 = Q / ε₀
𝜙 = (1.05 × 10²) / (8.85 × 10⁻¹²)
𝜙 = 105 / 0.00000000000885
𝜙 ≈ 1.05 × 10¹⁴ N·m²/C

This represents the electric flux passing through the surface and can also be verified using the electric flux calculator.

Working of Electric Flux Calculator

Input:

Enter the magnitude of the electric field and surface area
Enter the angle of the field lines and the charge value (select the correct units)
Specify the vacuum permittivity if different from the standard value

Output:

Total electric flux through the surface
Inward and outward flux components
Step-by-step calculation details

FAQs

Does Electric Flux Depend on Surface Shape?

No, electric flux depends on the density of field lines passing through the surface and the angle between the field and the surface.

Flux is maximum when the field lines are perpendicular (90°) and minimum when parallel (0°).

Is Electric Flux a Scalar or Vector?

Electric flux is a scalar quantity. Although it is calculated as the dot product of two vectors (electric field and area vector), the result is always scalar.

How Many Types of Electric Flux Are There?

Common types of flux include:

Luminous Flux
Mass Flux
Heat Flux
Momentum Flux
Acoustic Flux
Electric Flux
Magnetic Flux
Radiant Flux

References

Wikipedia: Electric Flux

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