Our electric flux calculator is used to calculate the magnitude of the total charges enclosed by a surface. This gauss law calculator uses the field strength with their area and flux angle to compute total magnetic flux with inner and outer flux across a given area.
Flux means how much something can go through a given area. So, the electric flux is defined as;
“The flow of electric field lines from a certain surface in a unit of time”
It is the dot product of the electric field and the surface area elements. The passing lines show the strength and direction of an electric field.
SI unit of electric flux is volt-metres (V m) which equals newton-metres squared per coulomb (N m2 C-1).
This law is stated as;
“Electric flux through any surface is equal to the total charges enclosed by a surface divided by the permittivity of free space”
Utilize the electric flux calculator to determine the electric flux. It has a user-friendly interface that takes some values as inputs to streamline a process making electric flux determination efficient and accessible.
Our electric flux calculator allows you to find the electric flux magnitude which is generated by the electric field of charge. It uses the following electric flux equation:
Φ = ∫ E ⋅ dA
Where:
According to Gauss's law, the electric flux through a closed surface is equal to the total charge enclosed by the surface divided by the permittivity of free space.
Φ = Q / ε₀
Where:
Assume that the 5 μC charge is enclosed within the 0.5 m² surface area. What is the flux due to the charge which has a 100 N/C magnitude of the electric field with an angle of 45 degrees?
Given Data:
Magnitude of Electric Field = 100 N/C
Surface Area = 0.5 m²
Angle of Field Lines = 45 degrees
Charge Value = 5 μC
Permittivity = 8.85 x 10⁻¹² C²/(N·m²)
Plug the values in the electric flux equation:
$$ \dfrac{Q}{ϵ_0} $$
$$ \dfrac{5000}{8.854 × 10^{-12}} $$
Φ = 5.6471651231082E+14
Electric Flux for Inward Flux:
Φ = |E| ×|A| ×cos(180 - θ)
Φ = 100 | x 0.5 x cos(180 - 45)
Φ = 100 | x 0.5 x cos(135)
Φ = 100 | x 0.5 x -0.7071
Φ = -35.3553
Electric Flux for Outward Flux:
Φ = |E| ×|A| ×cos(θ)
Φ = 100 x 0.5 x cos(45)
Φ = 100 x 0.5 x 0.70711
Φ = 35.3553
The relation between the electric flux and the electric charge is determined by Gauss’s law in which we describe that the electric flux is equal to the charge that is closed by the surface is divided by the free space permitivity.
The vector quantity describes the force acting on a charged particle at a certain space. The magnitude of an electric field is determined in volts per meter and in the direction of the electric field, the positive test charge would be accelerated.
Wikipedia: Electric flux.
Britannica: Electric flux, Gauss’s law, and electric displacement.
Phys libre texts: Flux of the Electric Field, Example, Non-uniform fields, Closed surfaces.
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