Gauss's Law Calculator

Your details

Choose the shape of the Gaussian surface that matches your physical setup.
Pick the quantity you want to find; fill in the rest of the inputs.
Total electric charge enclosed by the Gaussian surface.
nC
Radius of the spherical Gaussian surface, or perpendicular distance from the line charge axis to the cylindrical surface.
m
Enable to enter a relative permittivity for a dielectric medium (e.g. inside a capacitor filled with glass or water).
Electric flux (Φ)
1,129.4091N·m²/C

Total electric flux through the closed surface

Electric field (E)8,987.5518N/C
Enclosed charge (Q)10nC
Gaussian surface area (A)0.1257m²
Permittivity (epsilon)0F/m
Electric flux (N*m^2/C)1,129.4091
Surface area (m^2)0.1257

Electric flux: 1.129e+3 N·m^2/C

  • The total electric flux through the spherical Gaussian surface is 1.1294e+3 N*m^2/C.
  • The electric field magnitude at the surface is 8.9876e+3 N/C.
  • Gauss's Law tells us this flux depends only on the enclosed charge, not on the shape or size of the surface.

Next stepTo find the field at a different distance, increase or decrease the radius input and the field will update instantly.

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