Gauss's Law Calculator
Compute electric flux Φ = Q/ε₀ and field of a spherical charge.
Input Data
Charge C
C
Distance M
m
Results
Φ = Q/ε₀.
112,940.9067N·m²/C
E = Q/(4πε₀r²).
8,987.5518V/m
ε₀ = 8.854e-12.
0F/m
At a glance:Φ = Q/ε₀; E = Q/(4πε₀r²) (spherical symmetry). Complements electric-field and coulombs-law.
Formula
Φ = Q / ε₀.
E = Q/(4πε₀r²).
$$\Phi = \frac{Q_{enc}}{\varepsilon_0}$$$$E = \frac{Q}{4\pi\varepsilon_0 r^2}$$How to Use
- Enter charge and distance.
- The tool returns flux and field.
Case Studies
Q=1e-9, r=0.1
E ≈ 900 V/m, Φ ≈ 113 N·m²/C.
FAQ
Only spheres?
Gauss's law holds generally; symmetry simplifies E.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.